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Finding the Fourth Proportional to 137,902.04, 190,291.38 and 77,459

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Solution

The fourth proportional to 137,902.04, 190,291.38 and 77,459 is: 106,885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,902.04 : 190,291.38 = 77,459 : x
  2. Step 2: Convert to fraction form
    137,902.04/190,291.38 = 77,459/x
  3. Step 3: Cross multiply
    137,902.04x = 190,291.38 × 77,459
  4. Step 4: Simplify right side
    137,902.04x = 14,739,780,003.42
  5. Step 5: Solve for x
    x = 14,739,780,003.42/137,902.04
  6. Step 6: Final answer
    x = 106,885.87

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