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Finding the Fourth Proportional to 121,093.60, 181,748.40 and 71,111.20

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Solution

The fourth proportional to 121,093.60, 181,748.40 and 71,111.20 is: 106,730.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,093.60 : 181,748.40 = 71,111.20 : x
  2. Step 2: Convert to fraction form
    121,093.60/181,748.40 = 71,111.20/x
  3. Step 3: Cross multiply
    121,093.60x = 181,748.40 × 71,111.20
  4. Step 4: Simplify right side
    121,093.60x = 12,924,346,822.08
  5. Step 5: Solve for x
    x = 12,924,346,822.08/121,093.60
  6. Step 6: Final answer
    x = 106,730.22

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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.