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Finding the Fourth Proportional to 178,006.64, 267,035.88 and 53,357.36

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Solution

The fourth proportional to 178,006.64, 267,035.88 and 53,357.36 is: 80,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,006.64 : 267,035.88 = 53,357.36 : x
  2. Step 2: Convert to fraction form
    178,006.64/267,035.88 = 53,357.36/x
  3. Step 3: Cross multiply
    178,006.64x = 267,035.88 × 53,357.36
  4. Step 4: Simplify right side
    178,006.64x = 14,248,329,582.08
  5. Step 5: Solve for x
    x = 14,248,329,582.08/178,006.64
  6. Step 6: Final answer
    x = 80,043.81

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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.