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Finding the Fourth Proportional to 144,973.80, 217,460.70 and 97,734.60

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Solution

The fourth proportional to 144,973.80, 217,460.70 and 97,734.60 is: 146,601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,973.80 : 217,460.70 = 97,734.60 : x
  2. Step 2: Convert to fraction form
    144,973.80/217,460.70 = 97,734.60/x
  3. Step 3: Cross multiply
    144,973.80x = 217,460.70 × 97,734.60
  4. Step 4: Simplify right side
    144,973.80x = 21,253,434,530.22
  5. Step 5: Solve for x
    x = 21,253,434,530.22/144,973.80
  6. Step 6: Final answer
    x = 146,601.90

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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.