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Finding the Fourth Proportional to 238,295.12, 357,306.04 and 97,938

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Solution

The fourth proportional to 238,295.12, 357,306.04 and 97,938 is: 146,850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,295.12 : 357,306.04 = 97,938 : x
  2. Step 2: Convert to fraction form
    238,295.12/357,306.04 = 97,938/x
  3. Step 3: Cross multiply
    238,295.12x = 357,306.04 × 97,938
  4. Step 4: Simplify right side
    238,295.12x = 34,993,838,945.52
  5. Step 5: Solve for x
    x = 34,993,838,945.52/238,295.12
  6. Step 6: Final answer
    x = 146,850.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.