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Finding the Fourth Proportional to 142,160.16, 212,152.22 and 126,997

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Solution

The fourth proportional to 142,160.16, 212,152.22 and 126,997 is: 189,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,160.16 : 212,152.22 = 126,997 : x
  2. Step 2: Convert to fraction form
    142,160.16/212,152.22 = 126,997/x
  3. Step 3: Cross multiply
    142,160.16x = 212,152.22 × 126,997
  4. Step 4: Simplify right side
    142,160.16x = 26,942,695,483.34
  5. Step 5: Solve for x
    x = 26,942,695,483.34/142,160.16
  6. Step 6: Final answer
    x = 189,523.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.