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Finding the Fourth Proportional to 121,396.40, 182,483.40 and 86,577.20

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Solution

The fourth proportional to 121,396.40, 182,483.40 and 86,577.20 is: 130,143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,396.40 : 182,483.40 = 86,577.20 : x
  2. Step 2: Convert to fraction form
    121,396.40/182,483.40 = 86,577.20/x
  3. Step 3: Cross multiply
    121,396.40x = 182,483.40 × 86,577.20
  4. Step 4: Simplify right side
    121,396.40x = 15,798,901,818.48
  5. Step 5: Solve for x
    x = 15,798,901,818.48/121,396.40
  6. Step 6: Final answer
    x = 130,143.08

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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.