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Finding the Fourth Proportional to 164,498.95, 246,791.47 and 57,878.58

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Solution

The fourth proportional to 164,498.95, 246,791.47 and 57,878.58 is: 86,833.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,498.95 : 246,791.47 = 57,878.58 : x
  2. Step 2: Convert to fraction form
    164,498.95/246,791.47 = 57,878.58/x
  3. Step 3: Cross multiply
    164,498.95x = 246,791.47 × 57,878.58
  4. Step 4: Simplify right side
    164,498.95x = 14,283,939,839.71
  5. Step 5: Solve for x
    x = 14,283,939,839.71/164,498.95
  6. Step 6: Final answer
    x = 86,833.02

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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.