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Finding the Fourth Proportional to 403,728.10, 605,592.15 and 137,400.10

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Solution

The fourth proportional to 403,728.10, 605,592.15 and 137,400.10 is: 206,100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,728.10 : 605,592.15 = 137,400.10 : x
  2. Step 2: Convert to fraction form
    403,728.10/605,592.15 = 137,400.10/x
  3. Step 3: Cross multiply
    403,728.10x = 605,592.15 × 137,400.10
  4. Step 4: Simplify right side
    403,728.10x = 83,208,421,969.22
  5. Step 5: Solve for x
    x = 83,208,421,969.22/403,728.10
  6. Step 6: Final answer
    x = 206,100.15

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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.