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Finding the Fourth Proportional to 186,447.32, 257,295.98 and 101,564.38

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Solution

The fourth proportional to 186,447.32, 257,295.98 and 101,564.38 is: 140,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,447.32 : 257,295.98 = 101,564.38 : x
  2. Step 2: Convert to fraction form
    186,447.32/257,295.98 = 101,564.38/x
  3. Step 3: Cross multiply
    186,447.32x = 257,295.98 × 101,564.38
  4. Step 4: Simplify right side
    186,447.32x = 26,132,106,685.19
  5. Step 5: Solve for x
    x = 26,132,106,685.19/186,447.32
  6. Step 6: Final answer
    x = 140,158.12

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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.