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Finding the Fourth Proportional to 142,820.66, 214,231.76 and 42,980.18

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Solution

The fourth proportional to 142,820.66, 214,231.76 and 42,980.18 is: 64,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,820.66 : 214,231.76 = 42,980.18 : x
  2. Step 2: Convert to fraction form
    142,820.66/214,231.76 = 42,980.18/x
  3. Step 3: Cross multiply
    142,820.66x = 214,231.76 × 42,980.18
  4. Step 4: Simplify right side
    142,820.66x = 9,207,718,481.63
  5. Step 5: Solve for x
    x = 9,207,718,481.63/142,820.66
  6. Step 6: Final answer
    x = 64,470.49

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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.