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Finding the Fourth Proportional to 197,355, 296,047.17 and 64,225.02

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Solution

The fourth proportional to 197,355, 296,047.17 and 64,225.02 is: 96,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,355 : 296,047.17 = 64,225.02 : x
  2. Step 2: Convert to fraction form
    197,355/296,047.17 = 64,225.02/x
  3. Step 3: Cross multiply
    197,355x = 296,047.17 × 64,225.02
  4. Step 4: Simplify right side
    197,355x = 19,013,635,414.19
  5. Step 5: Solve for x
    x = 19,013,635,414.19/197,355
  6. Step 6: Final answer
    x = 96,342.30

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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.