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Finding the Fourth Proportional to 205,564.60, 308,346.90 and 194,159.80

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Solution

The fourth proportional to 205,564.60, 308,346.90 and 194,159.80 is: 291,239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,564.60 : 308,346.90 = 194,159.80 : x
  2. Step 2: Convert to fraction form
    205,564.60/308,346.90 = 194,159.80/x
  3. Step 3: Cross multiply
    205,564.60x = 308,346.90 × 194,159.80
  4. Step 4: Simplify right side
    205,564.60x = 59,868,572,434.62
  5. Step 5: Solve for x
    x = 59,868,572,434.62/205,564.60
  6. Step 6: Final answer
    x = 291,239.70

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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.