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Finding the Fourth Proportional to 197,957.60, 296,972.40 and 64,800.80

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Solution

The fourth proportional to 197,957.60, 296,972.40 and 64,800.80 is: 97,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,957.60 : 296,972.40 = 64,800.80 : x
  2. Step 2: Convert to fraction form
    197,957.60/296,972.40 = 64,800.80/x
  3. Step 3: Cross multiply
    197,957.60x = 296,972.40 × 64,800.80
  4. Step 4: Simplify right side
    197,957.60x = 19,244,049,097.92
  5. Step 5: Solve for x
    x = 19,244,049,097.92/197,957.60
  6. Step 6: Final answer
    x = 97,212.98

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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.