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Finding the Fourth Proportional to 200,126.53, 299,795.32 and 162,728.83

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Solution

The fourth proportional to 200,126.53, 299,795.32 and 162,728.83 is: 243,772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,126.53 : 299,795.32 = 162,728.83 : x
  2. Step 2: Convert to fraction form
    200,126.53/299,795.32 = 162,728.83/x
  3. Step 3: Cross multiply
    200,126.53x = 299,795.32 × 162,728.83
  4. Step 4: Simplify right side
    200,126.53x = 48,785,341,663.08
  5. Step 5: Solve for x
    x = 48,785,341,663.08/200,126.53
  6. Step 6: Final answer
    x = 243,772.49

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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.