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Finding the Fourth Proportional to 107,064.16, 147,749.60 and 59,318.16

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Solution

The fourth proportional to 107,064.16, 147,749.60 and 59,318.16 is: 81,859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,064.16 : 147,749.60 = 59,318.16 : x
  2. Step 2: Convert to fraction form
    107,064.16/147,749.60 = 59,318.16/x
  3. Step 3: Cross multiply
    107,064.16x = 147,749.60 × 59,318.16
  4. Step 4: Simplify right side
    107,064.16x = 8,764,234,412.74
  5. Step 5: Solve for x
    x = 8,764,234,412.74/107,064.16
  6. Step 6: Final answer
    x = 81,859.65

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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.