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Finding the Fourth Proportional to 268,024, 369,870.56 and 147,164.23

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Solution

The fourth proportional to 268,024, 369,870.56 and 147,164.23 is: 203,085.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,024 : 369,870.56 = 147,164.23 : x
  2. Step 2: Convert to fraction form
    268,024/369,870.56 = 147,164.23/x
  3. Step 3: Cross multiply
    268,024x = 369,870.56 × 147,164.23
  4. Step 4: Simplify right side
    268,024x = 54,431,716,162.07
  5. Step 5: Solve for x
    x = 54,431,716,162.07/268,024
  6. Step 6: Final answer
    x = 203,085.23

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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.