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Finding the Fourth Proportional to 277,084.76, 415,644.64 and 117,130.86

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Solution

The fourth proportional to 277,084.76, 415,644.64 and 117,130.86 is: 175,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,084.76 : 415,644.64 = 117,130.86 : x
  2. Step 2: Convert to fraction form
    277,084.76/415,644.64 = 117,130.86/x
  3. Step 3: Cross multiply
    277,084.76x = 415,644.64 × 117,130.86
  4. Step 4: Simplify right side
    277,084.76x = 48,684,813,844.76
  5. Step 5: Solve for x
    x = 48,684,813,844.76/277,084.76
  6. Step 6: Final answer
    x = 175,703.69

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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.