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Finding the Fourth Proportional to 277,506.85, 416,005.13 and 99,970.45

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Solution

The fourth proportional to 277,506.85, 416,005.13 and 99,970.45 is: 149,863.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,506.85 : 416,005.13 = 99,970.45 : x
  2. Step 2: Convert to fraction form
    277,506.85/416,005.13 = 99,970.45/x
  3. Step 3: Cross multiply
    277,506.85x = 416,005.13 × 99,970.45
  4. Step 4: Simplify right side
    277,506.85x = 41,588,217,468.53
  5. Step 5: Solve for x
    x = 41,588,217,468.53/277,506.85
  6. Step 6: Final answer
    x = 149,863.75

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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.