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Finding the Fourth Proportional to 137,674.93, 206,512.40 and 48,931.93

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Solution

The fourth proportional to 137,674.93, 206,512.40 and 48,931.93 is: 73,397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,674.93 : 206,512.40 = 48,931.93 : x
  2. Step 2: Convert to fraction form
    137,674.93/206,512.40 = 48,931.93/x
  3. Step 3: Cross multiply
    137,674.93x = 206,512.40 × 48,931.93
  4. Step 4: Simplify right side
    137,674.93x = 10,105,050,300.93
  5. Step 5: Solve for x
    x = 10,105,050,300.93/137,674.93
  6. Step 6: Final answer
    x = 73,397.90

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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.