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Finding the Fourth Proportional to 254,877.30, 382,303.80 and 86,381.10

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Solution

The fourth proportional to 254,877.30, 382,303.80 and 86,381.10 is: 129,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,877.30 : 382,303.80 = 86,381.10 : x
  2. Step 2: Convert to fraction form
    254,877.30/382,303.80 = 86,381.10/x
  3. Step 3: Cross multiply
    254,877.30x = 382,303.80 × 86,381.10
  4. Step 4: Simplify right side
    254,877.30x = 33,023,822,778.18
  5. Step 5: Solve for x
    x = 33,023,822,778.18/254,877.30
  6. Step 6: Final answer
    x = 129,567.53

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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.