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Finding the Fourth Proportional to 205,423.80, 308,135.70 and 116,850.30

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Solution

The fourth proportional to 205,423.80, 308,135.70 and 116,850.30 is: 175,275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,423.80 : 308,135.70 = 116,850.30 : x
  2. Step 2: Convert to fraction form
    205,423.80/308,135.70 = 116,850.30/x
  3. Step 3: Cross multiply
    205,423.80x = 308,135.70 × 116,850.30
  4. Step 4: Simplify right side
    205,423.80x = 36,005,748,985.71
  5. Step 5: Solve for x
    x = 36,005,748,985.71/205,423.80
  6. Step 6: Final answer
    x = 175,275.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.