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Finding the Fourth Proportional to 102,078.03, 140,830.35 and 61,777.08

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Solution

The fourth proportional to 102,078.03, 140,830.35 and 61,777.08 is: 85,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,078.03 : 140,830.35 = 61,777.08 : x
  2. Step 2: Convert to fraction form
    102,078.03/140,830.35 = 61,777.08/x
  3. Step 3: Cross multiply
    102,078.03x = 140,830.35 × 61,777.08
  4. Step 4: Simplify right side
    102,078.03x = 8,700,087,798.38
  5. Step 5: Solve for x
    x = 8,700,087,798.38/102,078.03
  6. Step 6: Final answer
    x = 85,229.78

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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.