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Finding the Fourth Proportional to 277,710.76, 416,605.02 and 90,674.92

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Solution

The fourth proportional to 277,710.76, 416,605.02 and 90,674.92 is: 136,025.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,710.76 : 416,605.02 = 90,674.92 : x
  2. Step 2: Convert to fraction form
    277,710.76/416,605.02 = 90,674.92/x
  3. Step 3: Cross multiply
    277,710.76x = 416,605.02 × 90,674.92
  4. Step 4: Simplify right side
    277,710.76x = 37,775,626,860.10
  5. Step 5: Solve for x
    x = 37,775,626,860.10/277,710.76
  6. Step 6: Final answer
    x = 136,025.07

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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.