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Finding the Fourth Proportional to 238,385.01, 357,571.98 and 120,024.57

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Solution

The fourth proportional to 238,385.01, 357,571.98 and 120,024.57 is: 180,034.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,385.01 : 357,571.98 = 120,024.57 : x
  2. Step 2: Convert to fraction form
    238,385.01/357,571.98 = 120,024.57/x
  3. Step 3: Cross multiply
    238,385.01x = 357,571.98 × 120,024.57
  4. Step 4: Simplify right side
    238,385.01x = 42,917,423,143.55
  5. Step 5: Solve for x
    x = 42,917,423,143.55/238,385.01
  6. Step 6: Final answer
    x = 180,034.07

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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.