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Finding the Fourth Proportional to 232,254.19, 320,434.95 and 135,436.11

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Solution

The fourth proportional to 232,254.19, 320,434.95 and 135,436.11 is: 186,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,254.19 : 320,434.95 = 135,436.11 : x
  2. Step 2: Convert to fraction form
    232,254.19/320,434.95 = 135,436.11/x
  3. Step 3: Cross multiply
    232,254.19x = 320,434.95 × 135,436.11
  4. Step 4: Simplify right side
    232,254.19x = 43,398,463,136.04
  5. Step 5: Solve for x
    x = 43,398,463,136.04/232,254.19
  6. Step 6: Final answer
    x = 186,857.61

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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.