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Finding the Fourth Proportional to 243,527.78, 365,328.02 and 75,034.01

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Solution

The fourth proportional to 243,527.78, 365,328.02 and 75,034.01 is: 112,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,527.78 : 365,328.02 = 75,034.01 : x
  2. Step 2: Convert to fraction form
    243,527.78/365,328.02 = 75,034.01/x
  3. Step 3: Cross multiply
    243,527.78x = 365,328.02 × 75,034.01
  4. Step 4: Simplify right side
    243,527.78x = 27,412,027,406.87
  5. Step 5: Solve for x
    x = 27,412,027,406.87/243,527.78
  6. Step 6: Final answer
    x = 112,562.22

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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.