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Finding the Fourth Proportional to 97,704.40, 137,097.20 and 97,704.40

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Solution

The fourth proportional to 97,704.40, 137,097.20 and 97,704.40 is: 137,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,704.40 : 137,097.20 = 97,704.40 : x
  2. Step 2: Convert to fraction form
    97,704.40/137,097.20 = 97,704.40/x
  3. Step 3: Cross multiply
    97,704.40x = 137,097.20 × 97,704.40
  4. Step 4: Simplify right side
    97,704.40x = 13,394,999,667.68
  5. Step 5: Solve for x
    x = 13,394,999,667.68/97,704.40
  6. Step 6: Final answer
    x = 137,097.20

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1.5x scale

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.