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Finding the Fourth Proportional to 306,759.68, 460,084.10 and 107,137.14

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Solution

The fourth proportional to 306,759.68, 460,084.10 and 107,137.14 is: 160,686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,759.68 : 460,084.10 = 107,137.14 : x
  2. Step 2: Convert to fraction form
    306,759.68/460,084.10 = 107,137.14/x
  3. Step 3: Cross multiply
    306,759.68x = 460,084.10 × 107,137.14
  4. Step 4: Simplify right side
    306,759.68x = 49,292,094,633.47
  5. Step 5: Solve for x
    x = 49,292,094,633.47/306,759.68
  6. Step 6: Final answer
    x = 160,686.35

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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.