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Finding the Fourth Proportional to 206,294.32, 284,677.40 and 116,870.32

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Solution

The fourth proportional to 206,294.32, 284,677.40 and 116,870.32 is: 161,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,294.32 : 284,677.40 = 116,870.32 : x
  2. Step 2: Convert to fraction form
    206,294.32/284,677.40 = 116,870.32/x
  3. Step 3: Cross multiply
    206,294.32x = 284,677.40 × 116,870.32
  4. Step 4: Simplify right side
    206,294.32x = 33,270,338,834.77
  5. Step 5: Solve for x
    x = 33,270,338,834.77/206,294.32
  6. Step 6: Final answer
    x = 161,276.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.