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Finding the Fourth Proportional to 100,734.64, 151,415.73 and 63,533.77

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Solution

The fourth proportional to 100,734.64, 151,415.73 and 63,533.77 is: 95,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,734.64 : 151,415.73 = 63,533.77 : x
  2. Step 2: Convert to fraction form
    100,734.64/151,415.73 = 63,533.77/x
  3. Step 3: Cross multiply
    100,734.64x = 151,415.73 × 63,533.77
  4. Step 4: Simplify right side
    100,734.64x = 9,620,011,785.66
  5. Step 5: Solve for x
    x = 9,620,011,785.66/100,734.64
  6. Step 6: Final answer
    x = 95,498.55

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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.