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Finding the Fourth Proportional to 123,794.94, 185,442.63 and 57,142.50

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Solution

The fourth proportional to 123,794.94, 185,442.63 and 57,142.50 is: 85,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,794.94 : 185,442.63 = 57,142.50 : x
  2. Step 2: Convert to fraction form
    123,794.94/185,442.63 = 57,142.50/x
  3. Step 3: Cross multiply
    123,794.94x = 185,442.63 × 57,142.50
  4. Step 4: Simplify right side
    123,794.94x = 10,596,655,484.78
  5. Step 5: Solve for x
    x = 10,596,655,484.78/123,794.94
  6. Step 6: Final answer
    x = 85,598.45

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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.