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Finding the Fourth Proportional to 157,294.34, 235,976.55 and 57,454.38

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Solution

The fourth proportional to 157,294.34, 235,976.55 and 57,454.38 is: 86,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,294.34 : 235,976.55 = 57,454.38 : x
  2. Step 2: Convert to fraction form
    157,294.34/235,976.55 = 57,454.38/x
  3. Step 3: Cross multiply
    157,294.34x = 235,976.55 × 57,454.38
  4. Step 4: Simplify right side
    157,294.34x = 13,557,886,374.79
  5. Step 5: Solve for x
    x = 13,557,886,374.79/157,294.34
  6. Step 6: Final answer
    x = 86,194.37

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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.