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Finding the Fourth Proportional to 265,813.72, 398,652.12 and 78,781.48

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Solution

The fourth proportional to 265,813.72, 398,652.12 and 78,781.48 is: 118,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,813.72 : 398,652.12 = 78,781.48 : x
  2. Step 2: Convert to fraction form
    265,813.72/398,652.12 = 78,781.48/x
  3. Step 3: Cross multiply
    265,813.72x = 398,652.12 × 78,781.48
  4. Step 4: Simplify right side
    265,813.72x = 31,406,404,018.74
  5. Step 5: Solve for x
    x = 31,406,404,018.74/265,813.72
  6. Step 6: Final answer
    x = 118,151.93

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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.