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Finding the Fourth Proportional to 107,235.44, 147,985.80 and 59,491.88

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Solution

The fourth proportional to 107,235.44, 147,985.80 and 59,491.88 is: 82,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,235.44 : 147,985.80 = 59,491.88 : x
  2. Step 2: Convert to fraction form
    107,235.44/147,985.80 = 59,491.88/x
  3. Step 3: Cross multiply
    107,235.44x = 147,985.80 × 59,491.88
  4. Step 4: Simplify right side
    107,235.44x = 8,803,953,455.30
  5. Step 5: Solve for x
    x = 8,803,953,455.30/107,235.44
  6. Step 6: Final answer
    x = 82,099.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.