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Finding the Fourth Proportional to 232,190.40, 347,702.40 and 152,875.20

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Solution

The fourth proportional to 232,190.40, 347,702.40 and 152,875.20 is: 228,928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,190.40 : 347,702.40 = 152,875.20 : x
  2. Step 2: Convert to fraction form
    232,190.40/347,702.40 = 152,875.20/x
  3. Step 3: Cross multiply
    232,190.40x = 347,702.40 × 152,875.20
  4. Step 4: Simplify right side
    232,190.40x = 53,155,073,940.48
  5. Step 5: Solve for x
    x = 53,155,073,940.48/232,190.40
  6. Step 6: Final answer
    x = 228,928.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.