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Finding the Fourth Proportional to 209,294.64, 288,807.84 and 116,162.82

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Solution

The fourth proportional to 209,294.64, 288,807.84 and 116,162.82 is: 160,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,294.64 : 288,807.84 = 116,162.82 : x
  2. Step 2: Convert to fraction form
    209,294.64/288,807.84 = 116,162.82/x
  3. Step 3: Cross multiply
    209,294.64x = 288,807.84 × 116,162.82
  4. Step 4: Simplify right side
    209,294.64x = 33,548,733,132.51
  5. Step 5: Solve for x
    x = 33,548,733,132.51/209,294.64
  6. Step 6: Final answer
    x = 160,294.28

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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.