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Finding the Fourth Proportional to 142,089.48, 212,982.66 and 106,920.36

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Solution

The fourth proportional to 142,089.48, 212,982.66 and 106,920.36 is: 160,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,089.48 : 212,982.66 = 106,920.36 : x
  2. Step 2: Convert to fraction form
    142,089.48/212,982.66 = 106,920.36/x
  3. Step 3: Cross multiply
    142,089.48x = 212,982.66 × 106,920.36
  4. Step 4: Simplify right side
    142,089.48x = 22,772,182,680.96
  5. Step 5: Solve for x
    x = 22,772,182,680.96/142,089.48
  6. Step 6: Final answer
    x = 160,266.49

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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.