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Finding the Fourth Proportional to 277,045.01, 415,567.64 and 66,682.95

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Solution

The fourth proportional to 277,045.01, 415,567.64 and 66,682.95 is: 100,024.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,045.01 : 415,567.64 = 66,682.95 : x
  2. Step 2: Convert to fraction form
    277,045.01/415,567.64 = 66,682.95/x
  3. Step 3: Cross multiply
    277,045.01x = 415,567.64 × 66,682.95
  4. Step 4: Simplify right side
    277,045.01x = 27,711,275,826.32
  5. Step 5: Solve for x
    x = 27,711,275,826.32/277,045.01
  6. Step 6: Final answer
    x = 100,024.46

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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.