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Finding the Fourth Proportional to 103,410.30, 155,151.90 and 99,765.30

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Solution

The fourth proportional to 103,410.30, 155,151.90 and 99,765.30 is: 149,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,410.30 : 155,151.90 = 99,765.30 : x
  2. Step 2: Convert to fraction form
    103,410.30/155,151.90 = 99,765.30/x
  3. Step 3: Cross multiply
    103,410.30x = 155,151.90 × 99,765.30
  4. Step 4: Simplify right side
    103,410.30x = 15,478,775,849.07
  5. Step 5: Solve for x
    x = 15,478,775,849.07/103,410.30
  6. Step 6: Final answer
    x = 149,683.12

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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.