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Finding the Fourth Proportional to 254,716.32, 382,070.16 and 88,500

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Solution

The fourth proportional to 254,716.32, 382,070.16 and 88,500 is: 132,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,716.32 : 382,070.16 = 88,500 : x
  2. Step 2: Convert to fraction form
    254,716.32/382,070.16 = 88,500/x
  3. Step 3: Cross multiply
    254,716.32x = 382,070.16 × 88,500
  4. Step 4: Simplify right side
    254,716.32x = 33,813,209,160.00
  5. Step 5: Solve for x
    x = 33,813,209,160.00/254,716.32
  6. Step 6: Final answer
    x = 132,748.50

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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.