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Finding the Fourth Proportional to 121,401.60, 182,102.40 and 117,319.20

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Solution

The fourth proportional to 121,401.60, 182,102.40 and 117,319.20 is: 175,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,401.60 : 182,102.40 = 117,319.20 : x
  2. Step 2: Convert to fraction form
    121,401.60/182,102.40 = 117,319.20/x
  3. Step 3: Cross multiply
    121,401.60x = 182,102.40 × 117,319.20
  4. Step 4: Simplify right side
    121,401.60x = 21,364,107,886.08
  5. Step 5: Solve for x
    x = 21,364,107,886.08/121,401.60
  6. Step 6: Final answer
    x = 175,978.80

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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.