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Finding the Fourth Proportional to 265,512.74, 398,342.91 and 115,766.11

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Solution

The fourth proportional to 265,512.74, 398,342.91 and 115,766.11 is: 173,681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,512.74 : 398,342.91 = 115,766.11 : x
  2. Step 2: Convert to fraction form
    265,512.74/398,342.91 = 115,766.11/x
  3. Step 3: Cross multiply
    265,512.74x = 398,342.91 × 115,766.11
  4. Step 4: Simplify right side
    265,512.74x = 46,114,610,068.83
  5. Step 5: Solve for x
    x = 46,114,610,068.83/265,512.74
  6. Step 6: Final answer
    x = 173,681.35

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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.