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Finding the Fourth Proportional to 142,481, 213,724.38 and 37,309.16

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Solution

The fourth proportional to 142,481, 213,724.38 and 37,309.16 is: 55,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,481 : 213,724.38 = 37,309.16 : x
  2. Step 2: Convert to fraction form
    142,481/213,724.38 = 37,309.16/x
  3. Step 3: Cross multiply
    142,481x = 213,724.38 × 37,309.16
  4. Step 4: Simplify right side
    142,481x = 7,973,877,089.32
  5. Step 5: Solve for x
    x = 7,973,877,089.32/142,481
  6. Step 6: Final answer
    x = 55,964.49

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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.