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Finding the Fourth Proportional to 238,314.56, 357,392.47 and 96,123.11

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Solution

The fourth proportional to 238,314.56, 357,392.47 and 96,123.11 is: 144,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,314.56 : 357,392.47 = 96,123.11 : x
  2. Step 2: Convert to fraction form
    238,314.56/357,392.47 = 96,123.11/x
  3. Step 3: Cross multiply
    238,314.56x = 357,392.47 × 96,123.11
  4. Step 4: Simplify right side
    238,314.56x = 34,353,675,706.98
  5. Step 5: Solve for x
    x = 34,353,675,706.98/238,314.56
  6. Step 6: Final answer
    x = 144,152.65

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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.