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Finding the Fourth Proportional to 111,565.96, 153,923.01 and 71,302.95

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Solution

The fourth proportional to 111,565.96, 153,923.01 and 71,302.95 is: 98,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,565.96 : 153,923.01 = 71,302.95 : x
  2. Step 2: Convert to fraction form
    111,565.96/153,923.01 = 71,302.95/x
  3. Step 3: Cross multiply
    111,565.96x = 153,923.01 × 71,302.95
  4. Step 4: Simplify right side
    111,565.96x = 10,975,164,685.88
  5. Step 5: Solve for x
    x = 10,975,164,685.88/111,565.96
  6. Step 6: Final answer
    x = 98,373.78

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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.