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Finding the Fourth Proportional to 233,715.19, 322,593.03 and 138,255.07

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Solution

The fourth proportional to 233,715.19, 322,593.03 and 138,255.07 is: 190,831.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,715.19 : 322,593.03 = 138,255.07 : x
  2. Step 2: Convert to fraction form
    233,715.19/322,593.03 = 138,255.07/x
  3. Step 3: Cross multiply
    233,715.19x = 322,593.03 × 138,255.07
  4. Step 4: Simplify right side
    233,715.19x = 44,600,121,944.16
  5. Step 5: Solve for x
    x = 44,600,121,944.16/233,715.19
  6. Step 6: Final answer
    x = 190,831.08

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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.