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Finding the Fourth Proportional to 149,718.32, 224,647.62 and 65,467.66

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Solution

The fourth proportional to 149,718.32, 224,647.62 and 65,467.66 is: 98,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,718.32 : 224,647.62 = 65,467.66 : x
  2. Step 2: Convert to fraction form
    149,718.32/224,647.62 = 65,467.66/x
  3. Step 3: Cross multiply
    149,718.32x = 224,647.62 × 65,467.66
  4. Step 4: Simplify right side
    149,718.32x = 14,707,154,005.97
  5. Step 5: Solve for x
    x = 14,707,154,005.97/149,718.32
  6. Step 6: Final answer
    x = 98,232.16

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Why These Related Problems?

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