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Finding the Fourth Proportional to 277,795.60, 383,420.83 and 157,006.95

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Solution

The fourth proportional to 277,795.60, 383,420.83 and 157,006.95 is: 216,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,795.60 : 383,420.83 = 157,006.95 : x
  2. Step 2: Convert to fraction form
    277,795.60/383,420.83 = 157,006.95/x
  3. Step 3: Cross multiply
    277,795.60x = 383,420.83 × 157,006.95
  4. Step 4: Simplify right side
    277,795.60x = 60,199,735,084.77
  5. Step 5: Solve for x
    x = 60,199,735,084.77/277,795.60
  6. Step 6: Final answer
    x = 216,705.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.