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Finding the Fourth Proportional to 205,666.60, 308,354.10 and 93,400.60

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Solution

The fourth proportional to 205,666.60, 308,354.10 and 93,400.60 is: 140,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,666.60 : 308,354.10 = 93,400.60 : x
  2. Step 2: Convert to fraction form
    205,666.60/308,354.10 = 93,400.60/x
  3. Step 3: Cross multiply
    205,666.60x = 308,354.10 × 93,400.60
  4. Step 4: Simplify right side
    205,666.60x = 28,800,457,952.46
  5. Step 5: Solve for x
    x = 28,800,457,952.46/205,666.60
  6. Step 6: Final answer
    x = 140,034.69

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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.