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Finding the Fourth Proportional to 186,213.50, 256,972.46 and 101,329.10

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Solution

The fourth proportional to 186,213.50, 256,972.46 and 101,329.10 is: 139,832.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,213.50 : 256,972.46 = 101,329.10 : x
  2. Step 2: Convert to fraction form
    186,213.50/256,972.46 = 101,329.10/x
  3. Step 3: Cross multiply
    186,213.50x = 256,972.46 × 101,329.10
  4. Step 4: Simplify right side
    186,213.50x = 26,038,788,096.59
  5. Step 5: Solve for x
    x = 26,038,788,096.59/186,213.50
  6. Step 6: Final answer
    x = 139,832.98

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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.