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Finding the Fourth Proportional to 265,873.38, 398,810.06 and 78,884.88

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Solution

The fourth proportional to 265,873.38, 398,810.06 and 78,884.88 is: 118,327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,873.38 : 398,810.06 = 78,884.88 : x
  2. Step 2: Convert to fraction form
    265,873.38/398,810.06 = 78,884.88/x
  3. Step 3: Cross multiply
    265,873.38x = 398,810.06 × 78,884.88
  4. Step 4: Simplify right side
    265,873.38x = 31,460,083,725.89
  5. Step 5: Solve for x
    x = 31,460,083,725.89/265,873.38
  6. Step 6: Final answer
    x = 118,327.32

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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.