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Finding the Fourth Proportional to 142,454.76, 213,623.82 and 63,515

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Solution

The fourth proportional to 142,454.76, 213,623.82 and 63,515 is: 95,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,454.76 : 213,623.82 = 63,515 : x
  2. Step 2: Convert to fraction form
    142,454.76/213,623.82 = 63,515/x
  3. Step 3: Cross multiply
    142,454.76x = 213,623.82 × 63,515
  4. Step 4: Simplify right side
    142,454.76x = 13,568,316,927.30
  5. Step 5: Solve for x
    x = 13,568,316,927.30/142,454.76
  6. Step 6: Final answer
    x = 95,246.50

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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.