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Finding the Fourth Proportional to 243,242.74, 364,271.19 and 137,741.86

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Solution

The fourth proportional to 243,242.74, 364,271.19 and 137,741.86 is: 206,277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,242.74 : 364,271.19 = 137,741.86 : x
  2. Step 2: Convert to fraction form
    243,242.74/364,271.19 = 137,741.86/x
  3. Step 3: Cross multiply
    243,242.74x = 364,271.19 × 137,741.86
  4. Step 4: Simplify right side
    243,242.74x = 50,175,391,255.01
  5. Step 5: Solve for x
    x = 50,175,391,255.01/243,242.74
  6. Step 6: Final answer
    x = 206,277.04

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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.