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Finding the Fourth Proportional to 107,215.52, 147,964.13 and 61,901.81

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Solution

The fourth proportional to 107,215.52, 147,964.13 and 61,901.81 is: 85,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,215.52 : 147,964.13 = 61,901.81 : x
  2. Step 2: Convert to fraction form
    107,215.52/147,964.13 = 61,901.81/x
  3. Step 3: Cross multiply
    107,215.52x = 147,964.13 × 61,901.81
  4. Step 4: Simplify right side
    107,215.52x = 9,159,247,462.08
  5. Step 5: Solve for x
    x = 9,159,247,462.08/107,215.52
  6. Step 6: Final answer
    x = 85,428.37

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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.