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Finding the Fourth Proportional to 142,161.16, 212,153.71 and 126,998

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Solution

The fourth proportional to 142,161.16, 212,153.71 and 126,998 is: 189,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,161.16 : 212,153.71 = 126,998 : x
  2. Step 2: Convert to fraction form
    142,161.16/212,153.71 = 126,998/x
  3. Step 3: Cross multiply
    142,161.16x = 212,153.71 × 126,998
  4. Step 4: Simplify right side
    142,161.16x = 26,943,096,862.58
  5. Step 5: Solve for x
    x = 26,943,096,862.58/142,161.16
  6. Step 6: Final answer
    x = 189,525.02

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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.