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Finding the Fourth Proportional to 185,641.24, 278,493.30 and 64,028.76

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Solution

The fourth proportional to 185,641.24, 278,493.30 and 64,028.76 is: 96,053.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,641.24 : 278,493.30 = 64,028.76 : x
  2. Step 2: Convert to fraction form
    185,641.24/278,493.30 = 64,028.76/x
  3. Step 3: Cross multiply
    185,641.24x = 278,493.30 × 64,028.76
  4. Step 4: Simplify right side
    185,641.24x = 17,831,579,415.63
  5. Step 5: Solve for x
    x = 17,831,579,415.63/185,641.24
  6. Step 6: Final answer
    x = 96,053.98

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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.