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Finding the Fourth Proportional to 238,614.57, 357,143.03 and 175,417.96

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Solution

The fourth proportional to 238,614.57, 357,143.03 and 175,417.96 is: 262,554.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,614.57 : 357,143.03 = 175,417.96 : x
  2. Step 2: Convert to fraction form
    238,614.57/357,143.03 = 175,417.96/x
  3. Step 3: Cross multiply
    238,614.57x = 357,143.03 × 175,417.96
  4. Step 4: Simplify right side
    238,614.57x = 62,649,301,750.82
  5. Step 5: Solve for x
    x = 62,649,301,750.82/238,614.57
  6. Step 6: Final answer
    x = 262,554.39

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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.