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Finding the Fourth Proportional to 232,688.90, 321,140.97 and 142,026.02

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Solution

The fourth proportional to 232,688.90, 321,140.97 and 142,026.02 is: 196,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,688.90 : 321,140.97 = 142,026.02 : x
  2. Step 2: Convert to fraction form
    232,688.90/321,140.97 = 142,026.02/x
  3. Step 3: Cross multiply
    232,688.90x = 321,140.97 × 142,026.02
  4. Step 4: Simplify right side
    232,688.90x = 45,610,373,828.04
  5. Step 5: Solve for x
    x = 45,610,373,828.04/232,688.90
  6. Step 6: Final answer
    x = 196,014.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.