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Finding the Fourth Proportional to 103,845.40, 155,768.10 and 77,601.40

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Solution

The fourth proportional to 103,845.40, 155,768.10 and 77,601.40 is: 116,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,845.40 : 155,768.10 = 77,601.40 : x
  2. Step 2: Convert to fraction form
    103,845.40/155,768.10 = 77,601.40/x
  3. Step 3: Cross multiply
    103,845.40x = 155,768.10 × 77,601.40
  4. Step 4: Simplify right side
    103,845.40x = 12,087,822,635.34
  5. Step 5: Solve for x
    x = 12,087,822,635.34/103,845.40
  6. Step 6: Final answer
    x = 116,402.10

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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.