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Finding the Fourth Proportional to 137,322.92, 205,818.04 and 58,271.07

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Solution

The fourth proportional to 137,322.92, 205,818.04 and 58,271.07 is: 87,336.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,322.92 : 205,818.04 = 58,271.07 : x
  2. Step 2: Convert to fraction form
    137,322.92/205,818.04 = 58,271.07/x
  3. Step 3: Cross multiply
    137,322.92x = 205,818.04 × 58,271.07
  4. Step 4: Simplify right side
    137,322.92x = 11,993,237,416.10
  5. Step 5: Solve for x
    x = 11,993,237,416.10/137,322.92
  6. Step 6: Final answer
    x = 87,336.02

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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.