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Finding the Fourth Proportional to 157,152, 235,735.32 and 44,839.92

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Solution

The fourth proportional to 157,152, 235,735.32 and 44,839.92 is: 67,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,152 : 235,735.32 = 44,839.92 : x
  2. Step 2: Convert to fraction form
    157,152/235,735.32 = 44,839.92/x
  3. Step 3: Cross multiply
    157,152x = 235,735.32 × 44,839.92
  4. Step 4: Simplify right side
    157,152x = 10,570,352,889.97
  5. Step 5: Solve for x
    x = 10,570,352,889.97/157,152
  6. Step 6: Final answer
    x = 67,261.97

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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.