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Finding the Fourth Proportional to 238,265.16, 357,406.32 and 119,872.08

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Solution

The fourth proportional to 238,265.16, 357,406.32 and 119,872.08 is: 179,812.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,265.16 : 357,406.32 = 119,872.08 : x
  2. Step 2: Convert to fraction form
    238,265.16/357,406.32 = 119,872.08/x
  3. Step 3: Cross multiply
    238,265.16x = 357,406.32 × 119,872.08
  4. Step 4: Simplify right side
    238,265.16x = 42,843,038,983.55
  5. Step 5: Solve for x
    x = 42,843,038,983.55/238,265.16
  6. Step 6: Final answer
    x = 179,812.44

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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.