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Finding the Fourth Proportional to 127,419.80, 191,153.76 and 42,035.54

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Solution

The fourth proportional to 127,419.80, 191,153.76 and 42,035.54 is: 63,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,419.80 : 191,153.76 = 42,035.54 : x
  2. Step 2: Convert to fraction form
    127,419.80/191,153.76 = 42,035.54/x
  3. Step 3: Cross multiply
    127,419.80x = 191,153.76 × 42,035.54
  4. Step 4: Simplify right side
    127,419.80x = 8,035,251,524.63
  5. Step 5: Solve for x
    x = 8,035,251,524.63/127,419.80
  6. Step 6: Final answer
    x = 63,061.25

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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.