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Finding the Fourth Proportional to 142,988.36, 214,484.14 and 43,149.50

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Solution

The fourth proportional to 142,988.36, 214,484.14 and 43,149.50 is: 64,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,988.36 : 214,484.14 = 43,149.50 : x
  2. Step 2: Convert to fraction form
    142,988.36/214,484.14 = 43,149.50/x
  3. Step 3: Cross multiply
    142,988.36x = 214,484.14 × 43,149.50
  4. Step 4: Simplify right side
    142,988.36x = 9,254,883,398.93
  5. Step 5: Solve for x
    x = 9,254,883,398.93/142,988.36
  6. Step 6: Final answer
    x = 64,724.73

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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.