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Finding the Fourth Proportional to 186,332.64, 257,135.76 and 101,448.24

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Solution

The fourth proportional to 186,332.64, 257,135.76 and 101,448.24 is: 139,996.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,332.64 : 257,135.76 = 101,448.24 : x
  2. Step 2: Convert to fraction form
    186,332.64/257,135.76 = 101,448.24/x
  3. Step 3: Cross multiply
    186,332.64x = 257,135.76 × 101,448.24
  4. Step 4: Simplify right side
    186,332.64x = 26,085,970,293.06
  5. Step 5: Solve for x
    x = 26,085,970,293.06/186,332.64
  6. Step 6: Final answer
    x = 139,996.78

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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.