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Finding the Fourth Proportional to 174,633.80, 261,950.70 and 127,977.80

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Solution

The fourth proportional to 174,633.80, 261,950.70 and 127,977.80 is: 191,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,633.80 : 261,950.70 = 127,977.80 : x
  2. Step 2: Convert to fraction form
    174,633.80/261,950.70 = 127,977.80/x
  3. Step 3: Cross multiply
    174,633.80x = 261,950.70 × 127,977.80
  4. Step 4: Simplify right side
    174,633.80x = 33,523,874,294.46
  5. Step 5: Solve for x
    x = 33,523,874,294.46/174,633.80
  6. Step 6: Final answer
    x = 191,966.70

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1.5x scale

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.