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Finding the Fourth Proportional to 107,153.92, 147,870.14 and 61,828.34

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Solution

The fourth proportional to 107,153.92, 147,870.14 and 61,828.34 is: 85,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,153.92 : 147,870.14 = 61,828.34 : x
  2. Step 2: Convert to fraction form
    107,153.92/147,870.14 = 61,828.34/x
  3. Step 3: Cross multiply
    107,153.92x = 147,870.14 × 61,828.34
  4. Step 4: Simplify right side
    107,153.92x = 9,142,565,816.01
  5. Step 5: Solve for x
    x = 9,142,565,816.01/107,153.92
  6. Step 6: Final answer
    x = 85,321.81

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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.