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Finding the Fourth Proportional to 200,060.48, 299,663.01 and 161,945.12

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Solution

The fourth proportional to 200,060.48, 299,663.01 and 161,945.12 is: 242,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,060.48 : 299,663.01 = 161,945.12 : x
  2. Step 2: Convert to fraction form
    200,060.48/299,663.01 = 161,945.12/x
  3. Step 3: Cross multiply
    200,060.48x = 299,663.01 × 161,945.12
  4. Step 4: Simplify right side
    200,060.48x = 48,528,962,863.17
  5. Step 5: Solve for x
    x = 48,528,962,863.17/200,060.48
  6. Step 6: Final answer
    x = 242,571.46

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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.