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Finding the Fourth Proportional to 105,502.16, 145,624.20 and 75,239.52

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Solution

The fourth proportional to 105,502.16, 145,624.20 and 75,239.52 is: 103,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,502.16 : 145,624.20 = 75,239.52 : x
  2. Step 2: Convert to fraction form
    105,502.16/145,624.20 = 75,239.52/x
  3. Step 3: Cross multiply
    105,502.16x = 145,624.20 × 75,239.52
  4. Step 4: Simplify right side
    105,502.16x = 10,956,694,908.38
  5. Step 5: Solve for x
    x = 10,956,694,908.38/105,502.16
  6. Step 6: Final answer
    x = 103,852.80

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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.