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Finding the Fourth Proportional to 270,057.84, 405,341.01 and 137,033.57

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Solution

The fourth proportional to 270,057.84, 405,341.01 and 137,033.57 is: 205,679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,057.84 : 405,341.01 = 137,033.57 : x
  2. Step 2: Convert to fraction form
    270,057.84/405,341.01 = 137,033.57/x
  3. Step 3: Cross multiply
    270,057.84x = 405,341.01 × 137,033.57
  4. Step 4: Simplify right side
    270,057.84x = 55,545,323,641.00
  5. Step 5: Solve for x
    x = 55,545,323,641.00/270,057.84
  6. Step 6: Final answer
    x = 205,679.36

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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.