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Finding the Fourth Proportional to 277,200.90, 415,802.74 and 77,522.04

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Solution

The fourth proportional to 277,200.90, 415,802.74 and 77,522.04 is: 116,283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,200.90 : 415,802.74 = 77,522.04 : x
  2. Step 2: Convert to fraction form
    277,200.90/415,802.74 = 77,522.04/x
  3. Step 3: Cross multiply
    277,200.90x = 415,802.74 × 77,522.04
  4. Step 4: Simplify right side
    277,200.90x = 32,233,876,642.39
  5. Step 5: Solve for x
    x = 32,233,876,642.39/277,200.90
  6. Step 6: Final answer
    x = 116,283.45

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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.