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Finding the Fourth Proportional to 232,654.94, 320,982.06 and 152,129.60

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Solution

The fourth proportional to 232,654.94, 320,982.06 and 152,129.60 is: 209,885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,654.94 : 320,982.06 = 152,129.60 : x
  2. Step 2: Convert to fraction form
    232,654.94/320,982.06 = 152,129.60/x
  3. Step 3: Cross multiply
    232,654.94x = 320,982.06 × 152,129.60
  4. Step 4: Simplify right side
    232,654.94x = 48,830,872,394.98
  5. Step 5: Solve for x
    x = 48,830,872,394.98/232,654.94
  6. Step 6: Final answer
    x = 209,885.39

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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.