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Finding the Fourth Proportional to 153,314.60, 229,982.70 and 86,786.60

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Solution

The fourth proportional to 153,314.60, 229,982.70 and 86,786.60 is: 130,186.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,314.60 : 229,982.70 = 86,786.60 : x
  2. Step 2: Convert to fraction form
    153,314.60/229,982.70 = 86,786.60/x
  3. Step 3: Cross multiply
    153,314.60x = 229,982.70 × 86,786.60
  4. Step 4: Simplify right side
    153,314.60x = 19,959,416,591.82
  5. Step 5: Solve for x
    x = 19,959,416,591.82/153,314.60
  6. Step 6: Final answer
    x = 130,186.01

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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.