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Finding the Fourth Proportional to 103,806.40, 155,709.60 and 96,894.40

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Solution

The fourth proportional to 103,806.40, 155,709.60 and 96,894.40 is: 145,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,806.40 : 155,709.60 = 96,894.40 : x
  2. Step 2: Convert to fraction form
    103,806.40/155,709.60 = 96,894.40/x
  3. Step 3: Cross multiply
    103,806.40x = 155,709.60 × 96,894.40
  4. Step 4: Simplify right side
    103,806.40x = 15,087,388,266.24
  5. Step 5: Solve for x
    x = 15,087,388,266.24/103,806.40
  6. Step 6: Final answer
    x = 145,341.60

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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.