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Finding the Fourth Proportional to 277,498.52, 416,200.83 and 77,772.95

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Solution

The fourth proportional to 277,498.52, 416,200.83 and 77,772.95 is: 116,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,498.52 : 416,200.83 = 77,772.95 : x
  2. Step 2: Convert to fraction form
    277,498.52/416,200.83 = 77,772.95/x
  3. Step 3: Cross multiply
    277,498.52x = 416,200.83 × 77,772.95
  4. Step 4: Simplify right side
    277,498.52x = 32,369,166,341.55
  5. Step 5: Solve for x
    x = 32,369,166,341.55/277,498.52
  6. Step 6: Final answer
    x = 116,646.27

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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.