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Finding the Fourth Proportional to 200,646.48, 276,700.56 and 120,061.20

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Solution

The fourth proportional to 200,646.48, 276,700.56 and 120,061.20 is: 165,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,646.48 : 276,700.56 = 120,061.20 : x
  2. Step 2: Convert to fraction form
    200,646.48/276,700.56 = 120,061.20/x
  3. Step 3: Cross multiply
    200,646.48x = 276,700.56 × 120,061.20
  4. Step 4: Simplify right side
    200,646.48x = 33,221,001,274.27
  5. Step 5: Solve for x
    x = 33,221,001,274.27/200,646.48
  6. Step 6: Final answer
    x = 165,569.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.