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Finding the Fourth Proportional to 201,476.84, 278,047.44 and 116,577.48

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Solution

The fourth proportional to 201,476.84, 278,047.44 and 116,577.48 is: 160,882.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,476.84 : 278,047.44 = 116,577.48 : x
  2. Step 2: Convert to fraction form
    201,476.84/278,047.44 = 116,577.48/x
  3. Step 3: Cross multiply
    201,476.84x = 278,047.44 × 116,577.48
  4. Step 4: Simplify right side
    201,476.84x = 32,414,069,875.65
  5. Step 5: Solve for x
    x = 32,414,069,875.65/201,476.84
  6. Step 6: Final answer
    x = 160,882.36

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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.