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Finding the Fourth Proportional to 107,068.14, 147,752.10 and 59,321.34

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Solution

The fourth proportional to 107,068.14, 147,752.10 and 59,321.34 is: 81,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,068.14 : 147,752.10 = 59,321.34 : x
  2. Step 2: Convert to fraction form
    107,068.14/147,752.10 = 59,321.34/x
  3. Step 3: Cross multiply
    107,068.14x = 147,752.10 × 59,321.34
  4. Step 4: Simplify right side
    107,068.14x = 8,764,852,559.81
  5. Step 5: Solve for x
    x = 8,764,852,559.81/107,068.14
  6. Step 6: Final answer
    x = 81,862.38

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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.