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Finding the Fourth Proportional to 199,810.16, 299,456.90 and 149,495.49

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Solution

The fourth proportional to 199,810.16, 299,456.90 and 149,495.49 is: 224,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,810.16 : 299,456.90 = 149,495.49 : x
  2. Step 2: Convert to fraction form
    199,810.16/299,456.90 = 149,495.49/x
  3. Step 3: Cross multiply
    199,810.16x = 299,456.90 × 149,495.49
  4. Step 4: Simplify right side
    199,810.16x = 44,767,455,812.51
  5. Step 5: Solve for x
    x = 44,767,455,812.51/199,810.16
  6. Step 6: Final answer
    x = 224,049.95

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1.5x scale

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.