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Finding the Fourth Proportional to 463,124.16, 694,686.24 and 130,700.16

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Solution

The fourth proportional to 463,124.16, 694,686.24 and 130,700.16 is: 196,050.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,124.16 : 694,686.24 = 130,700.16 : x
  2. Step 2: Convert to fraction form
    463,124.16/694,686.24 = 130,700.16/x
  3. Step 3: Cross multiply
    463,124.16x = 694,686.24 × 130,700.16
  4. Step 4: Simplify right side
    463,124.16x = 90,795,602,717.80
  5. Step 5: Solve for x
    x = 90,795,602,717.80/463,124.16
  6. Step 6: Final answer
    x = 196,050.24

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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.