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Finding the Fourth Proportional to 108,461.54, 149,599.77 and 99,537.86

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Solution

The fourth proportional to 108,461.54, 149,599.77 and 99,537.86 is: 137,291.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,461.54 : 149,599.77 = 99,537.86 : x
  2. Step 2: Convert to fraction form
    108,461.54/149,599.77 = 99,537.86/x
  3. Step 3: Cross multiply
    108,461.54x = 149,599.77 × 99,537.86
  4. Step 4: Simplify right side
    108,461.54x = 14,890,840,962.29
  5. Step 5: Solve for x
    x = 14,890,840,962.29/108,461.54
  6. Step 6: Final answer
    x = 137,291.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.