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Finding the Fourth Proportional to 184,595.76, 254,742.24 and 99,712.82

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Solution

The fourth proportional to 184,595.76, 254,742.24 and 99,712.82 is: 137,603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,595.76 : 254,742.24 = 99,712.82 : x
  2. Step 2: Convert to fraction form
    184,595.76/254,742.24 = 99,712.82/x
  3. Step 3: Cross multiply
    184,595.76x = 254,742.24 × 99,712.82
  4. Step 4: Simplify right side
    184,595.76x = 25,401,067,123.52
  5. Step 5: Solve for x
    x = 25,401,067,123.52/184,595.76
  6. Step 6: Final answer
    x = 137,603.74

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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.