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Finding the Fourth Proportional to 142,713.76, 214,062.40 and 42,871.76

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Solution

The fourth proportional to 142,713.76, 214,062.40 and 42,871.76 is: 64,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,713.76 : 214,062.40 = 42,871.76 : x
  2. Step 2: Convert to fraction form
    142,713.76/214,062.40 = 42,871.76/x
  3. Step 3: Cross multiply
    142,713.76x = 214,062.40 × 42,871.76
  4. Step 4: Simplify right side
    142,713.76x = 9,177,231,837.82
  5. Step 5: Solve for x
    x = 9,177,231,837.82/142,713.76
  6. Step 6: Final answer
    x = 64,305.16

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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.