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Finding the Fourth Proportional to 103,815.60, 145,735.50 and 103,815.60

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Solution

The fourth proportional to 103,815.60, 145,735.50 and 103,815.60 is: 145,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,815.60 : 145,735.50 = 103,815.60 : x
  2. Step 2: Convert to fraction form
    103,815.60/145,735.50 = 103,815.60/x
  3. Step 3: Cross multiply
    103,815.60x = 145,735.50 × 103,815.60
  4. Step 4: Simplify right side
    103,815.60x = 15,129,618,373.80
  5. Step 5: Solve for x
    x = 15,129,618,373.80/103,815.60
  6. Step 6: Final answer
    x = 145,735.50

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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.