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Finding the Fourth Proportional to 233,480, 350,271.12 and 75,724.40

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Solution

The fourth proportional to 233,480, 350,271.12 and 75,724.40 is: 113,603.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,480 : 350,271.12 = 75,724.40 : x
  2. Step 2: Convert to fraction form
    233,480/350,271.12 = 75,724.40/x
  3. Step 3: Cross multiply
    233,480x = 350,271.12 × 75,724.40
  4. Step 4: Simplify right side
    233,480x = 26,524,070,399.33
  5. Step 5: Solve for x
    x = 26,524,070,399.33/233,480
  6. Step 6: Final answer
    x = 113,603.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.