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Finding the Fourth Proportional to 259,654.25, 358,323.95 and 140,422.25

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Solution

The fourth proportional to 259,654.25, 358,323.95 and 140,422.25 is: 193,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,654.25 : 358,323.95 = 140,422.25 : x
  2. Step 2: Convert to fraction form
    259,654.25/358,323.95 = 140,422.25/x
  3. Step 3: Cross multiply
    259,654.25x = 358,323.95 × 140,422.25
  4. Step 4: Simplify right side
    259,654.25x = 50,316,655,287.89
  5. Step 5: Solve for x
    x = 50,316,655,287.89/259,654.25
  6. Step 6: Final answer
    x = 193,783.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.