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Finding the Fourth Proportional to 137,055.74, 205,597.70 and 51,738.46

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Solution

The fourth proportional to 137,055.74, 205,597.70 and 51,738.46 is: 77,613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,055.74 : 205,597.70 = 51,738.46 : x
  2. Step 2: Convert to fraction form
    137,055.74/205,597.70 = 51,738.46/x
  3. Step 3: Cross multiply
    137,055.74x = 205,597.70 × 51,738.46
  4. Step 4: Simplify right side
    137,055.74x = 10,637,308,377.54
  5. Step 5: Solve for x
    x = 10,637,308,377.54/137,055.74
  6. Step 6: Final answer
    x = 77,613.01

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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.