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Finding the Fourth Proportional to 266,957, 368,400.60 and 146,098.34

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Solution

The fourth proportional to 266,957, 368,400.60 and 146,098.34 is: 201,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,957 : 368,400.60 = 146,098.34 : x
  2. Step 2: Convert to fraction form
    266,957/368,400.60 = 146,098.34/x
  3. Step 3: Cross multiply
    266,957x = 368,400.60 × 146,098.34
  4. Step 4: Simplify right side
    266,957x = 53,822,716,115.00
  5. Step 5: Solve for x
    x = 53,822,716,115.00/266,957
  6. Step 6: Final answer
    x = 201,615.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.