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Finding the Fourth Proportional to 174,439, 261,661.02 and 49,780

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Solution

The fourth proportional to 174,439, 261,661.02 and 49,780 is: 74,670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,439 : 261,661.02 = 49,780 : x
  2. Step 2: Convert to fraction form
    174,439/261,661.02 = 49,780/x
  3. Step 3: Cross multiply
    174,439x = 261,661.02 × 49,780
  4. Step 4: Simplify right side
    174,439x = 13,025,485,575.60
  5. Step 5: Solve for x
    x = 13,025,485,575.60/174,439
  6. Step 6: Final answer
    x = 74,670.72

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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.