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Finding the Fourth Proportional to 184,458.92, 254,452.74 and 160,543.40

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Solution

The fourth proportional to 184,458.92, 254,452.74 and 160,543.40 is: 221,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,458.92 : 254,452.74 = 160,543.40 : x
  2. Step 2: Convert to fraction form
    184,458.92/254,452.74 = 160,543.40/x
  3. Step 3: Cross multiply
    184,458.92x = 254,452.74 × 160,543.40
  4. Step 4: Simplify right side
    184,458.92x = 40,850,708,018.92
  5. Step 5: Solve for x
    x = 40,850,708,018.92/184,458.92
  6. Step 6: Final answer
    x = 221,462.36

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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.