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Finding the Fourth Proportional to 223,231.60, 334,901.40 and 65,465.20

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Solution

The fourth proportional to 223,231.60, 334,901.40 and 65,465.20 is: 98,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,231.60 : 334,901.40 = 65,465.20 : x
  2. Step 2: Convert to fraction form
    223,231.60/334,901.40 = 65,465.20/x
  3. Step 3: Cross multiply
    223,231.60x = 334,901.40 × 65,465.20
  4. Step 4: Simplify right side
    223,231.60x = 21,924,387,131.28
  5. Step 5: Solve for x
    x = 21,924,387,131.28/223,231.60
  6. Step 6: Final answer
    x = 98,213.64

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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.