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Finding the Fourth Proportional to 200,849.84, 277,197.36 and 115,966.76

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Solution

The fourth proportional to 200,849.84, 277,197.36 and 115,966.76 is: 160,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,849.84 : 277,197.36 = 115,966.76 : x
  2. Step 2: Convert to fraction form
    200,849.84/277,197.36 = 115,966.76/x
  3. Step 3: Cross multiply
    200,849.84x = 277,197.36 × 115,966.76
  4. Step 4: Simplify right side
    200,849.84x = 32,145,679,719.75
  5. Step 5: Solve for x
    x = 32,145,679,719.75/200,849.84
  6. Step 6: Final answer
    x = 160,048.32

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