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Finding the Fourth Proportional to 197,607.40, 296,454.30 and 97,815.40

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Solution

The fourth proportional to 197,607.40, 296,454.30 and 97,815.40 is: 146,744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,607.40 : 296,454.30 = 97,815.40 : x
  2. Step 2: Convert to fraction form
    197,607.40/296,454.30 = 97,815.40/x
  3. Step 3: Cross multiply
    197,607.40x = 296,454.30 × 97,815.40
  4. Step 4: Simplify right side
    197,607.40x = 28,997,795,936.22
  5. Step 5: Solve for x
    x = 28,997,795,936.22/197,607.40
  6. Step 6: Final answer
    x = 146,744.48

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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.