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Finding the Fourth Proportional to 277,867.96, 416,802.96 and 67,505.90

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Solution

The fourth proportional to 277,867.96, 416,802.96 and 67,505.90 is: 101,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,867.96 : 416,802.96 = 67,505.90 : x
  2. Step 2: Convert to fraction form
    277,867.96/416,802.96 = 67,505.90/x
  3. Step 3: Cross multiply
    277,867.96x = 416,802.96 × 67,505.90
  4. Step 4: Simplify right side
    277,867.96x = 28,136,658,937.46
  5. Step 5: Solve for x
    x = 28,136,658,937.46/277,867.96
  6. Step 6: Final answer
    x = 101,259.10

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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.