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Finding the Fourth Proportional to 232,902.98, 321,386.36 and 130,920.74

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Solution

The fourth proportional to 232,902.98, 321,386.36 and 130,920.74 is: 180,659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,902.98 : 321,386.36 = 130,920.74 : x
  2. Step 2: Convert to fraction form
    232,902.98/321,386.36 = 130,920.74/x
  3. Step 3: Cross multiply
    232,902.98x = 321,386.36 × 130,920.74
  4. Step 4: Simplify right side
    232,902.98x = 42,076,137,815.57
  5. Step 5: Solve for x
    x = 42,076,137,815.57/232,902.98
  6. Step 6: Final answer
    x = 180,659.51

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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.