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Finding the Fourth Proportional to 186,855.32, 257,866.34 and 106,280.77

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Solution

The fourth proportional to 186,855.32, 257,866.34 and 106,280.77 is: 146,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,855.32 : 257,866.34 = 106,280.77 : x
  2. Step 2: Convert to fraction form
    186,855.32/257,866.34 = 106,280.77/x
  3. Step 3: Cross multiply
    186,855.32x = 257,866.34 × 106,280.77
  4. Step 4: Simplify right side
    186,855.32x = 27,406,233,172.28
  5. Step 5: Solve for x
    x = 27,406,233,172.28/186,855.32
  6. Step 6: Final answer
    x = 146,670.87

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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.