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Finding the Fourth Proportional to 238,409.36, 357,475.51 and 96,138.16

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Solution

The fourth proportional to 238,409.36, 357,475.51 and 96,138.16 is: 144,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,409.36 : 357,475.51 = 96,138.16 : x
  2. Step 2: Convert to fraction form
    238,409.36/357,475.51 = 96,138.16/x
  3. Step 3: Cross multiply
    238,409.36x = 357,475.51 × 96,138.16
  4. Step 4: Simplify right side
    238,409.36x = 34,367,037,002.95
  5. Step 5: Solve for x
    x = 34,367,037,002.95/238,409.36
  6. Step 6: Final answer
    x = 144,151.38

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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.