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Finding the Fourth Proportional to 186,034.20, 256,729.08 and 101,153.16

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Solution

The fourth proportional to 186,034.20, 256,729.08 and 101,153.16 is: 139,592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,034.20 : 256,729.08 = 101,153.16 : x
  2. Step 2: Convert to fraction form
    186,034.20/256,729.08 = 101,153.16/x
  3. Step 3: Cross multiply
    186,034.20x = 256,729.08 × 101,153.16
  4. Step 4: Simplify right side
    186,034.20x = 25,968,957,705.89
  5. Step 5: Solve for x
    x = 25,968,957,705.89/186,034.20
  6. Step 6: Final answer
    x = 139,592.39

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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.