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Finding the Fourth Proportional to 259,225.76, 357,713.34 and 142,934.06

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Solution

The fourth proportional to 259,225.76, 357,713.34 and 142,934.06 is: 197,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,225.76 : 357,713.34 = 142,934.06 : x
  2. Step 2: Convert to fraction form
    259,225.76/357,713.34 = 142,934.06/x
  3. Step 3: Cross multiply
    259,225.76x = 357,713.34 × 142,934.06
  4. Step 4: Simplify right side
    259,225.76x = 51,129,420,002.36
  5. Step 5: Solve for x
    x = 51,129,420,002.36/259,225.76
  6. Step 6: Final answer
    x = 197,238.96

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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.