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Finding the Fourth Proportional to 552,110.14, 828,164.80 and 178,133.14

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Solution

The fourth proportional to 552,110.14, 828,164.80 and 178,133.14 is: 267,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,110.14 : 828,164.80 = 178,133.14 : x
  2. Step 2: Convert to fraction form
    552,110.14/828,164.80 = 178,133.14/x
  3. Step 3: Cross multiply
    552,110.14x = 828,164.80 × 178,133.14
  4. Step 4: Simplify right side
    552,110.14x = 147,523,596,261.47
  5. Step 5: Solve for x
    x = 147,523,596,261.47/552,110.14
  6. Step 6: Final answer
    x = 267,199.58

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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.