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Finding the Fourth Proportional to 232,014, 320,164.02 and 136,502.16

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Solution

The fourth proportional to 232,014, 320,164.02 and 136,502.16 is: 188,363.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,014 : 320,164.02 = 136,502.16 : x
  2. Step 2: Convert to fraction form
    232,014/320,164.02 = 136,502.16/x
  3. Step 3: Cross multiply
    232,014x = 320,164.02 × 136,502.16
  4. Step 4: Simplify right side
    232,014x = 43,703,080,284.28
  5. Step 5: Solve for x
    x = 43,703,080,284.28/232,014
  6. Step 6: Final answer
    x = 188,363.98

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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.