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Finding the Fourth Proportional to 260,026.80, 390,040.20 and 82,547.70

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Solution

The fourth proportional to 260,026.80, 390,040.20 and 82,547.70 is: 123,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,026.80 : 390,040.20 = 82,547.70 : x
  2. Step 2: Convert to fraction form
    260,026.80/390,040.20 = 82,547.70/x
  3. Step 3: Cross multiply
    260,026.80x = 390,040.20 × 82,547.70
  4. Step 4: Simplify right side
    260,026.80x = 32,196,921,417.54
  5. Step 5: Solve for x
    x = 32,196,921,417.54/260,026.80
  6. Step 6: Final answer
    x = 123,821.55

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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.