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Finding the Fourth Proportional to 108,476.98, 162,830.49 and 96,077.50

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Solution

The fourth proportional to 108,476.98, 162,830.49 and 96,077.50 is: 144,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,476.98 : 162,830.49 = 96,077.50 : x
  2. Step 2: Convert to fraction form
    108,476.98/162,830.49 = 96,077.50/x
  3. Step 3: Cross multiply
    108,476.98x = 162,830.49 × 96,077.50
  4. Step 4: Simplify right side
    108,476.98x = 15,644,346,402.98
  5. Step 5: Solve for x
    x = 15,644,346,402.98/108,476.98
  6. Step 6: Final answer
    x = 144,218.12

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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.