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Finding the Fourth Proportional to 157,144.10, 235,723.93 and 44,840.86

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Solution

The fourth proportional to 157,144.10, 235,723.93 and 44,840.86 is: 67,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,144.10 : 235,723.93 = 44,840.86 : x
  2. Step 2: Convert to fraction form
    157,144.10/235,723.93 = 44,840.86/x
  3. Step 3: Cross multiply
    157,144.10x = 235,723.93 × 44,840.86
  4. Step 4: Simplify right side
    157,144.10x = 10,570,063,042.37
  5. Step 5: Solve for x
    x = 10,570,063,042.37/157,144.10
  6. Step 6: Final answer
    x = 67,263.51

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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.