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Finding the Fourth Proportional to 164,885.88, 247,306.40 and 46,566.74

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Solution

The fourth proportional to 164,885.88, 247,306.40 and 46,566.74 is: 69,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,885.88 : 247,306.40 = 46,566.74 : x
  2. Step 2: Convert to fraction form
    164,885.88/247,306.40 = 46,566.74/x
  3. Step 3: Cross multiply
    164,885.88x = 247,306.40 × 46,566.74
  4. Step 4: Simplify right side
    164,885.88x = 11,516,252,829.14
  5. Step 5: Solve for x
    x = 11,516,252,829.14/164,885.88
  6. Step 6: Final answer
    x = 69,843.78

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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.