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Finding the Fourth Proportional to 233,135.20, 349,617.12 and 83,335.06

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Solution

The fourth proportional to 233,135.20, 349,617.12 and 83,335.06 is: 124,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,135.20 : 349,617.12 = 83,335.06 : x
  2. Step 2: Convert to fraction form
    233,135.20/349,617.12 = 83,335.06/x
  3. Step 3: Cross multiply
    233,135.20x = 349,617.12 × 83,335.06
  4. Step 4: Simplify right side
    233,135.20x = 29,135,363,672.23
  5. Step 5: Solve for x
    x = 29,135,363,672.23/233,135.20
  6. Step 6: Final answer
    x = 124,971.96

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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.