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Finding the Fourth Proportional to 255,987.40, 353,260.14 and 141,267.10

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Solution

The fourth proportional to 255,987.40, 353,260.14 and 141,267.10 is: 194,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,987.40 : 353,260.14 = 141,267.10 : x
  2. Step 2: Convert to fraction form
    255,987.40/353,260.14 = 141,267.10/x
  3. Step 3: Cross multiply
    255,987.40x = 353,260.14 × 141,267.10
  4. Step 4: Simplify right side
    255,987.40x = 49,904,035,567.48
  5. Step 5: Solve for x
    x = 49,904,035,567.48/255,987.40
  6. Step 6: Final answer
    x = 194,947.23

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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.