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Finding the Fourth Proportional to 102,851.41, 141,942.24 and 57,533.65

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Solution

The fourth proportional to 102,851.41, 141,942.24 and 57,533.65 is: 79,400.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,851.41 : 141,942.24 = 57,533.65 : x
  2. Step 2: Convert to fraction form
    102,851.41/141,942.24 = 57,533.65/x
  3. Step 3: Cross multiply
    102,851.41x = 141,942.24 × 57,533.65
  4. Step 4: Simplify right side
    102,851.41x = 8,166,455,156.38
  5. Step 5: Solve for x
    x = 8,166,455,156.38/102,851.41
  6. Step 6: Final answer
    x = 79,400.52

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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.