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Finding the Fourth Proportional to 131,114.40, 196,768.80 and 86,726.40

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Solution

The fourth proportional to 131,114.40, 196,768.80 and 86,726.40 is: 130,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,114.40 : 196,768.80 = 86,726.40 : x
  2. Step 2: Convert to fraction form
    131,114.40/196,768.80 = 86,726.40/x
  3. Step 3: Cross multiply
    131,114.40x = 196,768.80 × 86,726.40
  4. Step 4: Simplify right side
    131,114.40x = 17,065,049,656.32
  5. Step 5: Solve for x
    x = 17,065,049,656.32/131,114.40
  6. Step 6: Final answer
    x = 130,153.89

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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.