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Finding the Fourth Proportional to 232,702.16, 321,120.40 and 142,209.60

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Solution

The fourth proportional to 232,702.16, 321,120.40 and 142,209.60 is: 196,244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,702.16 : 321,120.40 = 142,209.60 : x
  2. Step 2: Convert to fraction form
    232,702.16/321,120.40 = 142,209.60/x
  3. Step 3: Cross multiply
    232,702.16x = 321,120.40 × 142,209.60
  4. Step 4: Simplify right side
    232,702.16x = 45,666,403,635.84
  5. Step 5: Solve for x
    x = 45,666,403,635.84/232,702.16
  6. Step 6: Final answer
    x = 196,244.00

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