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Finding the Fourth Proportional to 137,202.67, 205,804.00 and 90,444.61

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Solution

The fourth proportional to 137,202.67, 205,804.00 and 90,444.61 is: 135,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,202.67 : 205,804.00 = 90,444.61 : x
  2. Step 2: Convert to fraction form
    137,202.67/205,804.00 = 90,444.61/x
  3. Step 3: Cross multiply
    137,202.67x = 205,804.00 × 90,444.61
  4. Step 4: Simplify right side
    137,202.67x = 18,613,862,001.00
  5. Step 5: Solve for x
    x = 18,613,862,001.00/137,202.67
  6. Step 6: Final answer
    x = 135,666.91

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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.