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Finding the Fourth Proportional to 260,086.40, 390,032.40 and 102,282.20

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Solution

The fourth proportional to 260,086.40, 390,032.40 and 102,282.20 is: 153,385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,086.40 : 390,032.40 = 102,282.20 : x
  2. Step 2: Convert to fraction form
    260,086.40/390,032.40 = 102,282.20/x
  3. Step 3: Cross multiply
    260,086.40x = 390,032.40 × 102,282.20
  4. Step 4: Simplify right side
    260,086.40x = 39,893,371,943.28
  5. Step 5: Solve for x
    x = 39,893,371,943.28/260,086.40
  6. Step 6: Final answer
    x = 153,385.07

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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.