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Finding the Fourth Proportional to 238,393, 357,583.96 and 120,032.56

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Solution

The fourth proportional to 238,393, 357,583.96 and 120,032.56 is: 180,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,393 : 357,583.96 = 120,032.56 : x
  2. Step 2: Convert to fraction form
    238,393/357,583.96 = 120,032.56/x
  3. Step 3: Cross multiply
    238,393x = 357,583.96 × 120,032.56
  4. Step 4: Simplify right side
    238,393x = 42,921,718,133.74
  5. Step 5: Solve for x
    x = 42,921,718,133.74/238,393
  6. Step 6: Final answer
    x = 180,046.05

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Why These Related Problems?

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