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Finding the Fourth Proportional to 185,323.32, 277,984.67 and 65,468.83

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Solution

The fourth proportional to 185,323.32, 277,984.67 and 65,468.83 is: 98,203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,323.32 : 277,984.67 = 65,468.83 : x
  2. Step 2: Convert to fraction form
    185,323.32/277,984.67 = 65,468.83/x
  3. Step 3: Cross multiply
    185,323.32x = 277,984.67 × 65,468.83
  4. Step 4: Simplify right side
    185,323.32x = 18,199,331,102.84
  5. Step 5: Solve for x
    x = 18,199,331,102.84/185,323.32
  6. Step 6: Final answer
    x = 98,203.14

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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.