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Finding the Fourth Proportional to 463,121.16, 694,681.74 and 130,697.16

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Solution

The fourth proportional to 463,121.16, 694,681.74 and 130,697.16 is: 196,045.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,121.16 : 694,681.74 = 130,697.16 : x
  2. Step 2: Convert to fraction form
    463,121.16/694,681.74 = 130,697.16/x
  3. Step 3: Cross multiply
    463,121.16x = 694,681.74 × 130,697.16
  4. Step 4: Simplify right side
    463,121.16x = 90,792,930,521.86
  5. Step 5: Solve for x
    x = 90,792,930,521.86/463,121.16
  6. Step 6: Final answer
    x = 196,045.74

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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.