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Finding the Fourth Proportional to 441,653.34, 662,387.12 and 142,160.70

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Solution

The fourth proportional to 441,653.34, 662,387.12 and 142,160.70 is: 213,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,653.34 : 662,387.12 = 142,160.70 : x
  2. Step 2: Convert to fraction form
    441,653.34/662,387.12 = 142,160.70/x
  3. Step 3: Cross multiply
    441,653.34x = 662,387.12 × 142,160.70
  4. Step 4: Simplify right side
    441,653.34x = 94,165,413,693.65
  5. Step 5: Solve for x
    x = 94,165,413,693.65/441,653.34
  6. Step 6: Final answer
    x = 213,211.15

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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.