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Finding the Fourth Proportional to 186,306, 257,102.28 and 101,418

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Solution

The fourth proportional to 186,306, 257,102.28 and 101,418 is: 139,956.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,306 : 257,102.28 = 101,418 : x
  2. Step 2: Convert to fraction form
    186,306/257,102.28 = 101,418/x
  3. Step 3: Cross multiply
    186,306x = 257,102.28 × 101,418
  4. Step 4: Simplify right side
    186,306x = 26,074,799,033.04
  5. Step 5: Solve for x
    x = 26,074,799,033.04/186,306
  6. Step 6: Final answer
    x = 139,956.84

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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.