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Finding the Fourth Proportional to 137,240.40, 205,827.24 and 37,401.12

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Solution

The fourth proportional to 137,240.40, 205,827.24 and 37,401.12 is: 56,092.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,240.40 : 205,827.24 = 37,401.12 : x
  2. Step 2: Convert to fraction form
    137,240.40/205,827.24 = 37,401.12/x
  3. Step 3: Cross multiply
    137,240.40x = 205,827.24 × 37,401.12
  4. Step 4: Simplify right side
    137,240.40x = 7,698,169,302.51
  5. Step 5: Solve for x
    x = 7,698,169,302.51/137,240.40
  6. Step 6: Final answer
    x = 56,092.59

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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.