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Finding the Fourth Proportional to 142,820.98, 214,232.23 and 42,980.49

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Solution

The fourth proportional to 142,820.98, 214,232.23 and 42,980.49 is: 64,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,820.98 : 214,232.23 = 42,980.49 : x
  2. Step 2: Convert to fraction form
    142,820.98/214,232.23 = 42,980.49/x
  3. Step 3: Cross multiply
    142,820.98x = 214,232.23 × 42,980.49
  4. Step 4: Simplify right side
    142,820.98x = 9,207,805,576.16
  5. Step 5: Solve for x
    x = 9,207,805,576.16/142,820.98
  6. Step 6: Final answer
    x = 64,470.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.