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Finding the Fourth Proportional to 101,958.76, 152,988.20 and 45,838.48

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Solution

The fourth proportional to 101,958.76, 152,988.20 and 45,838.48 is: 68,780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,958.76 : 152,988.20 = 45,838.48 : x
  2. Step 2: Convert to fraction form
    101,958.76/152,988.20 = 45,838.48/x
  3. Step 3: Cross multiply
    101,958.76x = 152,988.20 × 45,838.48
  4. Step 4: Simplify right side
    101,958.76x = 7,012,746,545.94
  5. Step 5: Solve for x
    x = 7,012,746,545.94/101,958.76
  6. Step 6: Final answer
    x = 68,780.23

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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.