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Finding the Fourth Proportional to 223,206.48, 334,809.72 and 98,522.64

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Solution

The fourth proportional to 223,206.48, 334,809.72 and 98,522.64 is: 147,783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,206.48 : 334,809.72 = 98,522.64 : x
  2. Step 2: Convert to fraction form
    223,206.48/334,809.72 = 98,522.64/x
  3. Step 3: Cross multiply
    223,206.48x = 334,809.72 × 98,522.64
  4. Step 4: Simplify right side
    223,206.48x = 32,986,337,512.06
  5. Step 5: Solve for x
    x = 32,986,337,512.06/223,206.48
  6. Step 6: Final answer
    x = 147,783.96

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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.