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Finding the Fourth Proportional to 126,737.54, 190,148.44 and 42,506

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Solution

The fourth proportional to 126,737.54, 190,148.44 and 42,506 is: 63,773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,737.54 : 190,148.44 = 42,506 : x
  2. Step 2: Convert to fraction form
    126,737.54/190,148.44 = 42,506/x
  3. Step 3: Cross multiply
    126,737.54x = 190,148.44 × 42,506
  4. Step 4: Simplify right side
    126,737.54x = 8,082,449,590.64
  5. Step 5: Solve for x
    x = 8,082,449,590.64/126,737.54
  6. Step 6: Final answer
    x = 63,773.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.