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Finding the Fourth Proportional to 223,184.93, 334,780.11 and 65,416.55

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Solution

The fourth proportional to 223,184.93, 334,780.11 and 65,416.55 is: 98,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,184.93 : 334,780.11 = 65,416.55 : x
  2. Step 2: Convert to fraction form
    223,184.93/334,780.11 = 65,416.55/x
  3. Step 3: Cross multiply
    223,184.93x = 334,780.11 × 65,416.55
  4. Step 4: Simplify right side
    223,184.93x = 21,900,158,130.92
  5. Step 5: Solve for x
    x = 21,900,158,130.92/223,184.93
  6. Step 6: Final answer
    x = 98,125.62

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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.