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Finding the Fourth Proportional to 265,549.48, 398,398.14 and 115,803.04

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Solution

The fourth proportional to 265,549.48, 398,398.14 and 115,803.04 is: 173,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,549.48 : 398,398.14 = 115,803.04 : x
  2. Step 2: Convert to fraction form
    265,549.48/398,398.14 = 115,803.04/x
  3. Step 3: Cross multiply
    265,549.48x = 398,398.14 × 115,803.04
  4. Step 4: Simplify right side
    265,549.48x = 46,135,715,742.35
  5. Step 5: Solve for x
    x = 46,135,715,742.35/265,549.48
  6. Step 6: Final answer
    x = 173,736.80

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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.