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Finding the Fourth Proportional to 100,858.77, 151,311.84 and 56,516.13

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Solution

The fourth proportional to 100,858.77, 151,311.84 and 56,516.13 is: 84,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,858.77 : 151,311.84 = 56,516.13 : x
  2. Step 2: Convert to fraction form
    100,858.77/151,311.84 = 56,516.13/x
  3. Step 3: Cross multiply
    100,858.77x = 151,311.84 × 56,516.13
  4. Step 4: Simplify right side
    100,858.77x = 8,551,559,264.50
  5. Step 5: Solve for x
    x = 8,551,559,264.50/100,858.77
  6. Step 6: Final answer
    x = 84,787.47

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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.