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Finding the Fourth Proportional to 223,206.61, 334,809.91 and 98,522.77

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Solution

The fourth proportional to 223,206.61, 334,809.91 and 98,522.77 is: 147,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,206.61 : 334,809.91 = 98,522.77 : x
  2. Step 2: Convert to fraction form
    223,206.61/334,809.91 = 98,522.77/x
  3. Step 3: Cross multiply
    223,206.61x = 334,809.91 × 98,522.77
  4. Step 4: Simplify right side
    223,206.61x = 32,986,397,836.29
  5. Step 5: Solve for x
    x = 32,986,397,836.29/223,206.61
  6. Step 6: Final answer
    x = 147,784.15

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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.