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Finding the Fourth Proportional to 157,185.70, 235,706.18 and 50,549.90

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Solution

The fourth proportional to 157,185.70, 235,706.18 and 50,549.90 is: 75,801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,185.70 : 235,706.18 = 50,549.90 : x
  2. Step 2: Convert to fraction form
    157,185.70/235,706.18 = 50,549.90/x
  3. Step 3: Cross multiply
    157,185.70x = 235,706.18 × 50,549.90
  4. Step 4: Simplify right side
    157,185.70x = 11,914,922,397.10
  5. Step 5: Solve for x
    x = 11,914,922,397.10/157,185.70
  6. Step 6: Final answer
    x = 75,801.57

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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.