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Finding the Fourth Proportional to 270,465.94, 373,214.28 and 149,588.02

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Solution

The fourth proportional to 270,465.94, 373,214.28 and 149,588.02 is: 206,415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,465.94 : 373,214.28 = 149,588.02 : x
  2. Step 2: Convert to fraction form
    270,465.94/373,214.28 = 149,588.02/x
  3. Step 3: Cross multiply
    270,465.94x = 373,214.28 × 149,588.02
  4. Step 4: Simplify right side
    270,465.94x = 55,828,385,180.93
  5. Step 5: Solve for x
    x = 55,828,385,180.93/270,465.94
  6. Step 6: Final answer
    x = 206,415.58

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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.