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Finding the Fourth Proportional to 216,948.32, 325,454.16 and 67,202

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Solution

The fourth proportional to 216,948.32, 325,454.16 and 67,202 is: 100,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,948.32 : 325,454.16 = 67,202 : x
  2. Step 2: Convert to fraction form
    216,948.32/325,454.16 = 67,202/x
  3. Step 3: Cross multiply
    216,948.32x = 325,454.16 × 67,202
  4. Step 4: Simplify right side
    216,948.32x = 21,871,170,460.32
  5. Step 5: Solve for x
    x = 21,871,170,460.32/216,948.32
  6. Step 6: Final answer
    x = 100,812.81

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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.