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Finding the Fourth Proportional to 232,175.32, 320,283.99 and 151,649.98

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Solution

The fourth proportional to 232,175.32, 320,283.99 and 151,649.98 is: 209,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,175.32 : 320,283.99 = 151,649.98 : x
  2. Step 2: Convert to fraction form
    232,175.32/320,283.99 = 151,649.98/x
  3. Step 3: Cross multiply
    232,175.32x = 320,283.99 × 151,649.98
  4. Step 4: Simplify right side
    232,175.32x = 48,571,059,877.11
  5. Step 5: Solve for x
    x = 48,571,059,877.11/232,175.32
  6. Step 6: Final answer
    x = 209,199.93

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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.