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Finding the Fourth Proportional to 273,812.40, 377,858.16 and 152,965.80

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Solution

The fourth proportional to 273,812.40, 377,858.16 and 152,965.80 is: 211,091.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,812.40 : 377,858.16 = 152,965.80 : x
  2. Step 2: Convert to fraction form
    273,812.40/377,858.16 = 152,965.80/x
  3. Step 3: Cross multiply
    273,812.40x = 377,858.16 × 152,965.80
  4. Step 4: Simplify right side
    273,812.40x = 57,799,375,730.93
  5. Step 5: Solve for x
    x = 57,799,375,730.93/273,812.40
  6. Step 6: Final answer
    x = 211,091.15

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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.