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Finding the Fourth Proportional to 193,152.50, 266,543.03 and 107,115.02

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Solution

The fourth proportional to 193,152.50, 266,543.03 and 107,115.02 is: 147,814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,152.50 : 266,543.03 = 107,115.02 : x
  2. Step 2: Convert to fraction form
    193,152.50/266,543.03 = 107,115.02/x
  3. Step 3: Cross multiply
    193,152.50x = 266,543.03 × 107,115.02
  4. Step 4: Simplify right side
    193,152.50x = 28,550,760,924.38
  5. Step 5: Solve for x
    x = 28,550,760,924.38/193,152.50
  6. Step 6: Final answer
    x = 147,814.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.