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Finding the Fourth Proportional to 184,657.92, 254,771.28 and 112,963.20

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Solution

The fourth proportional to 184,657.92, 254,771.28 and 112,963.20 is: 155,854.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,657.92 : 254,771.28 = 112,963.20 : x
  2. Step 2: Convert to fraction form
    184,657.92/254,771.28 = 112,963.20/x
  3. Step 3: Cross multiply
    184,657.92x = 254,771.28 × 112,963.20
  4. Step 4: Simplify right side
    184,657.92x = 28,779,779,056.90
  5. Step 5: Solve for x
    x = 28,779,779,056.90/184,657.92
  6. Step 6: Final answer
    x = 155,854.56

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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.