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Finding the Fourth Proportional to 185,661.10, 278,242.19 and 101,294.84

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Solution

The fourth proportional to 185,661.10, 278,242.19 and 101,294.84 is: 151,806.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,661.10 : 278,242.19 = 101,294.84 : x
  2. Step 2: Convert to fraction form
    185,661.10/278,242.19 = 101,294.84/x
  3. Step 3: Cross multiply
    185,661.10x = 278,242.19 × 101,294.84
  4. Step 4: Simplify right side
    185,661.10x = 28,184,497,610.83
  5. Step 5: Solve for x
    x = 28,184,497,610.83/185,661.10
  6. Step 6: Final answer
    x = 151,806.16

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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.