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Finding the Fourth Proportional to 114,329.40, 171,008.10 and 102,568.20

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Solution

The fourth proportional to 114,329.40, 171,008.10 and 102,568.20 is: 153,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,329.40 : 171,008.10 = 102,568.20 : x
  2. Step 2: Convert to fraction form
    114,329.40/171,008.10 = 102,568.20/x
  3. Step 3: Cross multiply
    114,329.40x = 171,008.10 × 102,568.20
  4. Step 4: Simplify right side
    114,329.40x = 17,539,993,002.42
  5. Step 5: Solve for x
    x = 17,539,993,002.42/114,329.40
  6. Step 6: Final answer
    x = 153,416.30

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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.