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Finding the Fourth Proportional to 154,192.56, 231,322.86 and 65,521.86

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Solution

The fourth proportional to 154,192.56, 231,322.86 and 65,521.86 is: 98,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,192.56 : 231,322.86 = 65,521.86 : x
  2. Step 2: Convert to fraction form
    154,192.56/231,322.86 = 65,521.86/x
  3. Step 3: Cross multiply
    154,192.56x = 231,322.86 × 65,521.86
  4. Step 4: Simplify right side
    154,192.56x = 15,156,704,047.72
  5. Step 5: Solve for x
    x = 15,156,704,047.72/154,192.56
  6. Step 6: Final answer
    x = 98,297.25

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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.