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Finding the Fourth Proportional to 199,817.65, 299,468.10 and 149,502.98

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Solution

The fourth proportional to 199,817.65, 299,468.10 and 149,502.98 is: 224,061.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,817.65 : 299,468.10 = 149,502.98 : x
  2. Step 2: Convert to fraction form
    199,817.65/299,468.10 = 149,502.98/x
  3. Step 3: Cross multiply
    199,817.65x = 299,468.10 × 149,502.98
  4. Step 4: Simplify right side
    199,817.65x = 44,771,371,867.60
  5. Step 5: Solve for x
    x = 44,771,371,867.60/199,817.65
  6. Step 6: Final answer
    x = 224,061.15

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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.