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Finding the Fourth Proportional to 137,059, 205,618.74 and 58,240.60

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Solution

The fourth proportional to 137,059, 205,618.74 and 58,240.60 is: 87,373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,059 : 205,618.74 = 58,240.60 : x
  2. Step 2: Convert to fraction form
    137,059/205,618.74 = 58,240.60/x
  3. Step 3: Cross multiply
    137,059x = 205,618.74 × 58,240.60
  4. Step 4: Simplify right side
    137,059x = 11,975,358,788.84
  5. Step 5: Solve for x
    x = 11,975,358,788.84/137,059
  6. Step 6: Final answer
    x = 87,373.75

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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.