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Finding the Fourth Proportional to 184,657.92, 254,828.10 and 99,775.20

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Solution

The fourth proportional to 184,657.92, 254,828.10 and 99,775.20 is: 137,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,657.92 : 254,828.10 = 99,775.20 : x
  2. Step 2: Convert to fraction form
    184,657.92/254,828.10 = 99,775.20/x
  3. Step 3: Cross multiply
    184,657.92x = 254,828.10 × 99,775.20
  4. Step 4: Simplify right side
    184,657.92x = 25,425,524,643.12
  5. Step 5: Solve for x
    x = 25,425,524,643.12/184,657.92
  6. Step 6: Final answer
    x = 137,689.87

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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.