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Finding the Fourth Proportional to 306,776.66, 460,375.17 and 107,097.03

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Solution

The fourth proportional to 306,776.66, 460,375.17 and 107,097.03 is: 160,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,776.66 : 460,375.17 = 107,097.03 : x
  2. Step 2: Convert to fraction form
    306,776.66/460,375.17 = 107,097.03/x
  3. Step 3: Cross multiply
    306,776.66x = 460,375.17 × 107,097.03
  4. Step 4: Simplify right side
    306,776.66x = 49,304,815,068.91
  5. Step 5: Solve for x
    x = 49,304,815,068.91/306,776.66
  6. Step 6: Final answer
    x = 160,718.93

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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.