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Finding the Fourth Proportional to 232,648.66, 320,973.38 and 152,123.32

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Solution

The fourth proportional to 232,648.66, 320,973.38 and 152,123.32 is: 209,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,648.66 : 320,973.38 = 152,123.32 : x
  2. Step 2: Convert to fraction form
    232,648.66/320,973.38 = 152,123.32/x
  3. Step 3: Cross multiply
    232,648.66x = 320,973.38 × 152,123.32
  4. Step 4: Simplify right side
    232,648.66x = 48,827,534,592.35
  5. Step 5: Solve for x
    x = 48,827,534,592.35/232,648.66
  6. Step 6: Final answer
    x = 209,876.71

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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.