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Finding the Fourth Proportional to 233,085.36, 348,876.15 and 120,610.80

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Solution

The fourth proportional to 233,085.36, 348,876.15 and 120,610.80 is: 180,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,085.36 : 348,876.15 = 120,610.80 : x
  2. Step 2: Convert to fraction form
    233,085.36/348,876.15 = 120,610.80/x
  3. Step 3: Cross multiply
    233,085.36x = 348,876.15 × 120,610.80
  4. Step 4: Simplify right side
    233,085.36x = 42,078,231,552.42
  5. Step 5: Solve for x
    x = 42,078,231,552.42/233,085.36
  6. Step 6: Final answer
    x = 180,527.13

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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.