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Finding the Fourth Proportional to 260,083.20, 390,124.80 and 102,259.20

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Solution

The fourth proportional to 260,083.20, 390,124.80 and 102,259.20 is: 153,388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,083.20 : 390,124.80 = 102,259.20 : x
  2. Step 2: Convert to fraction form
    260,083.20/390,124.80 = 102,259.20/x
  3. Step 3: Cross multiply
    260,083.20x = 390,124.80 × 102,259.20
  4. Step 4: Simplify right side
    260,083.20x = 39,893,849,948.16
  5. Step 5: Solve for x
    x = 39,893,849,948.16/260,083.20
  6. Step 6: Final answer
    x = 153,388.80

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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.