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Finding the Fourth Proportional to 201,964.76, 278,710.08 and 110,083.88

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Solution

The fourth proportional to 201,964.76, 278,710.08 and 110,083.88 is: 151,915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,964.76 : 278,710.08 = 110,083.88 : x
  2. Step 2: Convert to fraction form
    201,964.76/278,710.08 = 110,083.88/x
  3. Step 3: Cross multiply
    201,964.76x = 278,710.08 × 110,083.88
  4. Step 4: Simplify right side
    201,964.76x = 30,681,487,001.51
  5. Step 5: Solve for x
    x = 30,681,487,001.51/201,964.76
  6. Step 6: Final answer
    x = 151,915.05

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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.