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Finding the Fourth Proportional to 308,869.12, 463,603.29 and 149,057.53

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Solution

The fourth proportional to 308,869.12, 463,603.29 and 149,057.53 is: 223,730.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,869.12 : 463,603.29 = 149,057.53 : x
  2. Step 2: Convert to fraction form
    308,869.12/463,603.29 = 149,057.53/x
  3. Step 3: Cross multiply
    308,869.12x = 463,603.29 × 149,057.53
  4. Step 4: Simplify right side
    308,869.12x = 69,103,561,307.27
  5. Step 5: Solve for x
    x = 69,103,561,307.27/308,869.12
  6. Step 6: Final answer
    x = 223,730.88

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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.