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Finding the Fourth Proportional to 223,225.60, 334,892.40 and 65,459.20

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Solution

The fourth proportional to 223,225.60, 334,892.40 and 65,459.20 is: 98,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,225.60 : 334,892.40 = 65,459.20 : x
  2. Step 2: Convert to fraction form
    223,225.60/334,892.40 = 65,459.20/x
  3. Step 3: Cross multiply
    223,225.60x = 334,892.40 × 65,459.20
  4. Step 4: Simplify right side
    223,225.60x = 21,921,788,590.08
  5. Step 5: Solve for x
    x = 21,921,788,590.08/223,225.60
  6. Step 6: Final answer
    x = 98,204.64

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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.