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Finding the Fourth Proportional to 107,234.55, 147,977.01 and 59,486.94

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Solution

The fourth proportional to 107,234.55, 147,977.01 and 59,486.94 is: 82,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,234.55 : 147,977.01 = 59,486.94 : x
  2. Step 2: Convert to fraction form
    107,234.55/147,977.01 = 59,486.94/x
  3. Step 3: Cross multiply
    107,234.55x = 147,977.01 × 59,486.94
  4. Step 4: Simplify right side
    107,234.55x = 8,802,699,515.25
  5. Step 5: Solve for x
    x = 8,802,699,515.25/107,234.55
  6. Step 6: Final answer
    x = 82,088.28

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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.