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Finding the Fourth Proportional to 102,657.84, 154,035.72 and 55,909.68

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Solution

The fourth proportional to 102,657.84, 154,035.72 and 55,909.68 is: 83,891.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,657.84 : 154,035.72 = 55,909.68 : x
  2. Step 2: Convert to fraction form
    102,657.84/154,035.72 = 55,909.68/x
  3. Step 3: Cross multiply
    102,657.84x = 154,035.72 × 55,909.68
  4. Step 4: Simplify right side
    102,657.84x = 8,612,087,813.77
  5. Step 5: Solve for x
    x = 8,612,087,813.77/102,657.84
  6. Step 6: Final answer
    x = 83,891.18

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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.