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Finding the Fourth Proportional to 103,200.30, 142,403.72 and 60,750.62

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Solution

The fourth proportional to 103,200.30, 142,403.72 and 60,750.62 is: 83,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,200.30 : 142,403.72 = 60,750.62 : x
  2. Step 2: Convert to fraction form
    103,200.30/142,403.72 = 60,750.62/x
  3. Step 3: Cross multiply
    103,200.30x = 142,403.72 × 60,750.62
  4. Step 4: Simplify right side
    103,200.30x = 8,651,114,280.31
  5. Step 5: Solve for x
    x = 8,651,114,280.31/103,200.30
  6. Step 6: Final answer
    x = 83,828.38

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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.