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Finding the Fourth Proportional to 232,128.40, 320,219.29 and 151,603.06

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Solution

The fourth proportional to 232,128.40, 320,219.29 and 151,603.06 is: 209,135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,128.40 : 320,219.29 = 151,603.06 : x
  2. Step 2: Convert to fraction form
    232,128.40/320,219.29 = 151,603.06/x
  3. Step 3: Cross multiply
    232,128.40x = 320,219.29 × 151,603.06
  4. Step 4: Simplify right side
    232,128.40x = 48,546,224,508.65
  5. Step 5: Solve for x
    x = 48,546,224,508.65/232,128.40
  6. Step 6: Final answer
    x = 209,135.22

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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.