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Finding the Fourth Proportional to 97,346.60, 146,019.90 and 91,903.40

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Solution

The fourth proportional to 97,346.60, 146,019.90 and 91,903.40 is: 137,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,346.60 : 146,019.90 = 91,903.40 : x
  2. Step 2: Convert to fraction form
    97,346.60/146,019.90 = 91,903.40/x
  3. Step 3: Cross multiply
    97,346.60x = 146,019.90 × 91,903.40
  4. Step 4: Simplify right side
    97,346.60x = 13,419,725,277.66
  5. Step 5: Solve for x
    x = 13,419,725,277.66/97,346.60
  6. Step 6: Final answer
    x = 137,855.10

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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.