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Finding the Fourth Proportional to 255,097.20, 382,645.80 and 65,557.20

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Solution

The fourth proportional to 255,097.20, 382,645.80 and 65,557.20 is: 98,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,097.20 : 382,645.80 = 65,557.20 : x
  2. Step 2: Convert to fraction form
    255,097.20/382,645.80 = 65,557.20/x
  3. Step 3: Cross multiply
    255,097.20x = 382,645.80 × 65,557.20
  4. Step 4: Simplify right side
    255,097.20x = 25,085,187,239.76
  5. Step 5: Solve for x
    x = 25,085,187,239.76/255,097.20
  6. Step 6: Final answer
    x = 98,335.80

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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.