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Finding the Fourth Proportional to 105,248.52, 145,192.38 and 76,523.70

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Solution

The fourth proportional to 105,248.52, 145,192.38 and 76,523.70 is: 105,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,248.52 : 145,192.38 = 76,523.70 : x
  2. Step 2: Convert to fraction form
    105,248.52/145,192.38 = 76,523.70/x
  3. Step 3: Cross multiply
    105,248.52x = 145,192.38 × 76,523.70
  4. Step 4: Simplify right side
    105,248.52x = 11,110,658,129.41
  5. Step 5: Solve for x
    x = 11,110,658,129.41/105,248.52
  6. Step 6: Final answer
    x = 105,565.93

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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.