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Finding the Fourth Proportional to 153,351.60, 230,038.20 and 86,823.60

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Solution

The fourth proportional to 153,351.60, 230,038.20 and 86,823.60 is: 130,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,351.60 : 230,038.20 = 86,823.60 : x
  2. Step 2: Convert to fraction form
    153,351.60/230,038.20 = 86,823.60/x
  3. Step 3: Cross multiply
    153,351.60x = 230,038.20 × 86,823.60
  4. Step 4: Simplify right side
    153,351.60x = 19,972,744,661.52
  5. Step 5: Solve for x
    x = 19,972,744,661.52/153,351.60
  6. Step 6: Final answer
    x = 130,241.51

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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.