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Finding the Fourth Proportional to 141,498, 212,248.44 and 43,002

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Solution

The fourth proportional to 141,498, 212,248.44 and 43,002 is: 64,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,498 : 212,248.44 = 43,002 : x
  2. Step 2: Convert to fraction form
    141,498/212,248.44 = 43,002/x
  3. Step 3: Cross multiply
    141,498x = 212,248.44 × 43,002
  4. Step 4: Simplify right side
    141,498x = 9,127,107,416.88
  5. Step 5: Solve for x
    x = 9,127,107,416.88/141,498
  6. Step 6: Final answer
    x = 64,503.44

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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.