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Finding the Fourth Proportional to 105,098.40, 157,744.80 and 52,545.60

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Solution

The fourth proportional to 105,098.40, 157,744.80 and 52,545.60 is: 78,867.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,098.40 : 157,744.80 = 52,545.60 : x
  2. Step 2: Convert to fraction form
    105,098.40/157,744.80 = 52,545.60/x
  3. Step 3: Cross multiply
    105,098.40x = 157,744.80 × 52,545.60
  4. Step 4: Simplify right side
    105,098.40x = 8,288,795,162.88
  5. Step 5: Solve for x
    x = 8,288,795,162.88/105,098.40
  6. Step 6: Final answer
    x = 78,867.00

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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.