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Finding the Fourth Proportional to 273,263.48, 409,907.51 and 83,710.01

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Solution

The fourth proportional to 273,263.48, 409,907.51 and 83,710.01 is: 125,568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,263.48 : 409,907.51 = 83,710.01 : x
  2. Step 2: Convert to fraction form
    273,263.48/409,907.51 = 83,710.01/x
  3. Step 3: Cross multiply
    273,263.48x = 409,907.51 × 83,710.01
  4. Step 4: Simplify right side
    273,263.48x = 34,313,359,293.09
  5. Step 5: Solve for x
    x = 34,313,359,293.09/273,263.48
  6. Step 6: Final answer
    x = 125,568.77

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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.