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Finding the Fourth Proportional to 103,824.60, 145,748.10 and 103,824.60

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Solution

The fourth proportional to 103,824.60, 145,748.10 and 103,824.60 is: 145,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,824.60 : 145,748.10 = 103,824.60 : x
  2. Step 2: Convert to fraction form
    103,824.60/145,748.10 = 103,824.60/x
  3. Step 3: Cross multiply
    103,824.60x = 145,748.10 × 103,824.60
  4. Step 4: Simplify right side
    103,824.60x = 15,132,238,183.26
  5. Step 5: Solve for x
    x = 15,132,238,183.26/103,824.60
  6. Step 6: Final answer
    x = 145,748.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.