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Finding the Fourth Proportional to 277,677.61, 416,532.58 and 78,013.58

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Solution

The fourth proportional to 277,677.61, 416,532.58 and 78,013.58 is: 117,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,677.61 : 416,532.58 = 78,013.58 : x
  2. Step 2: Convert to fraction form
    277,677.61/416,532.58 = 78,013.58/x
  3. Step 3: Cross multiply
    277,677.61x = 416,532.58 × 78,013.58
  4. Step 4: Simplify right side
    277,677.61x = 32,495,197,752.44
  5. Step 5: Solve for x
    x = 32,495,197,752.44/277,677.61
  6. Step 6: Final answer
    x = 117,024.91

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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.