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Finding the Fourth Proportional to 233,632, 322,412.16 and 127,648

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Solution

The fourth proportional to 233,632, 322,412.16 and 127,648 is: 176,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,632 : 322,412.16 = 127,648 : x
  2. Step 2: Convert to fraction form
    233,632/322,412.16 = 127,648/x
  3. Step 3: Cross multiply
    233,632x = 322,412.16 × 127,648
  4. Step 4: Simplify right side
    233,632x = 41,155,267,399.68
  5. Step 5: Solve for x
    x = 41,155,267,399.68/233,632
  6. Step 6: Final answer
    x = 176,154.24

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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.