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Finding the Fourth Proportional to 142,820.70, 214,261 and 42,988.20

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Solution

The fourth proportional to 142,820.70, 214,261 and 42,988.20 is: 64,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,820.70 : 214,261 = 42,988.20 : x
  2. Step 2: Convert to fraction form
    142,820.70/214,261 = 42,988.20/x
  3. Step 3: Cross multiply
    142,820.70x = 214,261 × 42,988.20
  4. Step 4: Simplify right side
    142,820.70x = 9,210,694,720.20
  5. Step 5: Solve for x
    x = 9,210,694,720.20/142,820.70
  6. Step 6: Final answer
    x = 64,491.31

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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.