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Finding the Fourth Proportional to 153,353.60, 230,041.20 and 86,825.60

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Solution

The fourth proportional to 153,353.60, 230,041.20 and 86,825.60 is: 130,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,353.60 : 230,041.20 = 86,825.60 : x
  2. Step 2: Convert to fraction form
    153,353.60/230,041.20 = 86,825.60/x
  3. Step 3: Cross multiply
    153,353.60x = 230,041.20 × 86,825.60
  4. Step 4: Simplify right side
    153,353.60x = 19,973,465,214.72
  5. Step 5: Solve for x
    x = 19,973,465,214.72/153,353.60
  6. Step 6: Final answer
    x = 130,244.51

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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.