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Finding the Fourth Proportional to 223,616.16, 335,482.56 and 83,376

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Solution

The fourth proportional to 223,616.16, 335,482.56 and 83,376 is: 125,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,616.16 : 335,482.56 = 83,376 : x
  2. Step 2: Convert to fraction form
    223,616.16/335,482.56 = 83,376/x
  3. Step 3: Cross multiply
    223,616.16x = 335,482.56 × 83,376
  4. Step 4: Simplify right side
    223,616.16x = 27,971,193,922.56
  5. Step 5: Solve for x
    x = 27,971,193,922.56/223,616.16
  6. Step 6: Final answer
    x = 125,085.74

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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.