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Finding the Fourth Proportional to 102,658.44, 153,861.84 and 58,322.52

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Solution

The fourth proportional to 102,658.44, 153,861.84 and 58,322.52 is: 87,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,658.44 : 153,861.84 = 58,322.52 : x
  2. Step 2: Convert to fraction form
    102,658.44/153,861.84 = 58,322.52/x
  3. Step 3: Cross multiply
    102,658.44x = 153,861.84 × 58,322.52
  4. Step 4: Simplify right side
    102,658.44x = 8,973,610,240.64
  5. Step 5: Solve for x
    x = 8,973,610,240.64/102,658.44
  6. Step 6: Final answer
    x = 87,412.30

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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.