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Finding the Fourth Proportional to 265,850.51, 398,615.38 and 105,951.04

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Solution

The fourth proportional to 265,850.51, 398,615.38 and 105,951.04 is: 158,862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,850.51 : 398,615.38 = 105,951.04 : x
  2. Step 2: Convert to fraction form
    265,850.51/398,615.38 = 105,951.04/x
  3. Step 3: Cross multiply
    265,850.51x = 398,615.38 × 105,951.04
  4. Step 4: Simplify right side
    265,850.51x = 42,233,712,809.58
  5. Step 5: Solve for x
    x = 42,233,712,809.58/265,850.51
  6. Step 6: Final answer
    x = 158,862.64

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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.