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Finding the Fourth Proportional to 277,043.73, 415,565.71 and 66,681.67

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Solution

The fourth proportional to 277,043.73, 415,565.71 and 66,681.67 is: 100,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,043.73 : 415,565.71 = 66,681.67 : x
  2. Step 2: Convert to fraction form
    277,043.73/415,565.71 = 66,681.67/x
  3. Step 3: Cross multiply
    277,043.73x = 415,565.71 × 66,681.67
  4. Step 4: Simplify right side
    277,043.73x = 27,710,613,126.30
  5. Step 5: Solve for x
    x = 27,710,613,126.30/277,043.73
  6. Step 6: Final answer
    x = 100,022.52

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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.