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Finding the Fourth Proportional to 213,598.59, 320,446.49 and 113,706.15

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Solution

The fourth proportional to 213,598.59, 320,446.49 and 113,706.15 is: 170,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,598.59 : 320,446.49 = 113,706.15 : x
  2. Step 2: Convert to fraction form
    213,598.59/320,446.49 = 113,706.15/x
  3. Step 3: Cross multiply
    213,598.59x = 320,446.49 × 113,706.15
  4. Step 4: Simplify right side
    213,598.59x = 36,436,736,090.38
  5. Step 5: Solve for x
    x = 36,436,736,090.38/213,598.59
  6. Step 6: Final answer
    x = 170,585.10

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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.