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Finding the Fourth Proportional to 259,547.60, 389,244.60 and 101,685.20

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Solution

The fourth proportional to 259,547.60, 389,244.60 and 101,685.20 is: 152,497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,547.60 : 389,244.60 = 101,685.20 : x
  2. Step 2: Convert to fraction form
    259,547.60/389,244.60 = 101,685.20/x
  3. Step 3: Cross multiply
    259,547.60x = 389,244.60 × 101,685.20
  4. Step 4: Simplify right side
    259,547.60x = 39,580,414,999.92
  5. Step 5: Solve for x
    x = 39,580,414,999.92/259,547.60
  6. Step 6: Final answer
    x = 152,497.71

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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.