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Finding the Fourth Proportional to 105,904.38, 158,856.98 and 74,455.22

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Solution

The fourth proportional to 105,904.38, 158,856.98 and 74,455.22 is: 111,683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,904.38 : 158,856.98 = 74,455.22 : x
  2. Step 2: Convert to fraction form
    105,904.38/158,856.98 = 74,455.22/x
  3. Step 3: Cross multiply
    105,904.38x = 158,856.98 × 74,455.22
  4. Step 4: Simplify right side
    105,904.38x = 11,827,730,227.87
  5. Step 5: Solve for x
    x = 11,827,730,227.87/105,904.38
  6. Step 6: Final answer
    x = 111,683.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.