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Finding the Fourth Proportional to 232,702.76, 321,107.13 and 130,705.13

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Solution

The fourth proportional to 232,702.76, 321,107.13 and 130,705.13 is: 180,360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,702.76 : 321,107.13 = 130,705.13 : x
  2. Step 2: Convert to fraction form
    232,702.76/321,107.13 = 130,705.13/x
  3. Step 3: Cross multiply
    232,702.76x = 321,107.13 × 130,705.13
  4. Step 4: Simplify right side
    232,702.76x = 41,970,347,565.04
  5. Step 5: Solve for x
    x = 41,970,347,565.04/232,702.76
  6. Step 6: Final answer
    x = 180,360.34

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1.5x scale

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.