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Finding the Fourth Proportional to 266,937.50, 368,373.76 and 146,078.78

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Solution

The fourth proportional to 266,937.50, 368,373.76 and 146,078.78 is: 201,588.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,937.50 : 368,373.76 = 146,078.78 : x
  2. Step 2: Convert to fraction form
    266,937.50/368,373.76 = 146,078.78/x
  3. Step 3: Cross multiply
    266,937.50x = 368,373.76 × 146,078.78
  4. Step 4: Simplify right side
    266,937.50x = 53,811,589,444.81
  5. Step 5: Solve for x
    x = 53,811,589,444.81/266,937.50
  6. Step 6: Final answer
    x = 201,588.72

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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.