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Finding the Fourth Proportional to 137,210.33, 205,697.20 and 53,029.55

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Solution

The fourth proportional to 137,210.33, 205,697.20 and 53,029.55 is: 79,498.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,210.33 : 205,697.20 = 53,029.55 : x
  2. Step 2: Convert to fraction form
    137,210.33/205,697.20 = 53,029.55/x
  3. Step 3: Cross multiply
    137,210.33x = 205,697.20 × 53,029.55
  4. Step 4: Simplify right side
    137,210.33x = 10,908,029,952.26
  5. Step 5: Solve for x
    x = 10,908,029,952.26/137,210.33
  6. Step 6: Final answer
    x = 79,498.61

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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.