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Finding the Fourth Proportional to 286,100.88, 429,165.88 and 96,568.16

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Solution

The fourth proportional to 286,100.88, 429,165.88 and 96,568.16 is: 144,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,100.88 : 429,165.88 = 96,568.16 : x
  2. Step 2: Convert to fraction form
    286,100.88/429,165.88 = 96,568.16/x
  3. Step 3: Cross multiply
    286,100.88x = 429,165.88 × 96,568.16
  4. Step 4: Simplify right side
    286,100.88x = 41,443,759,366.38
  5. Step 5: Solve for x
    x = 41,443,759,366.38/286,100.88
  6. Step 6: Final answer
    x = 144,857.15

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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.