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Finding the Fourth Proportional to 110,762.84, 166,040.58 and 61,411.16

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Solution

The fourth proportional to 110,762.84, 166,040.58 and 61,411.16 is: 92,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,762.84 : 166,040.58 = 61,411.16 : x
  2. Step 2: Convert to fraction form
    110,762.84/166,040.58 = 61,411.16/x
  3. Step 3: Cross multiply
    110,762.84x = 166,040.58 × 61,411.16
  4. Step 4: Simplify right side
    110,762.84x = 10,196,744,624.87
  5. Step 5: Solve for x
    x = 10,196,744,624.87/110,762.84
  6. Step 6: Final answer
    x = 92,059.26

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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.