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Finding the Fourth Proportional to 254,567.54, 381,854.81 and 65,029.48

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Solution

The fourth proportional to 254,567.54, 381,854.81 and 65,029.48 is: 97,545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,567.54 : 381,854.81 = 65,029.48 : x
  2. Step 2: Convert to fraction form
    254,567.54/381,854.81 = 65,029.48/x
  3. Step 3: Cross multiply
    254,567.54x = 381,854.81 × 65,029.48
  4. Step 4: Simplify right side
    254,567.54x = 24,831,818,714.97
  5. Step 5: Solve for x
    x = 24,831,818,714.97/254,567.54
  6. Step 6: Final answer
    x = 97,545.11

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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.