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Finding the Fourth Proportional to 206,412.60, 309,618.90 and 101,436.60

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Solution

The fourth proportional to 206,412.60, 309,618.90 and 101,436.60 is: 152,154.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,412.60 : 309,618.90 = 101,436.60 : x
  2. Step 2: Convert to fraction form
    206,412.60/309,618.90 = 101,436.60/x
  3. Step 3: Cross multiply
    206,412.60x = 309,618.90 × 101,436.60
  4. Step 4: Simplify right side
    206,412.60x = 31,406,688,511.74
  5. Step 5: Solve for x
    x = 31,406,688,511.74/206,412.60
  6. Step 6: Final answer
    x = 152,154.90

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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.