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Finding the Fourth Proportional to 94,722.40, 142,083.60 and 77,809.60

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Solution

The fourth proportional to 94,722.40, 142,083.60 and 77,809.60 is: 116,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,722.40 : 142,083.60 = 77,809.60 : x
  2. Step 2: Convert to fraction form
    94,722.40/142,083.60 = 77,809.60/x
  3. Step 3: Cross multiply
    94,722.40x = 142,083.60 × 77,809.60
  4. Step 4: Simplify right side
    94,722.40x = 11,055,468,082.56
  5. Step 5: Solve for x
    x = 11,055,468,082.56/94,722.40
  6. Step 6: Final answer
    x = 116,714.40

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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.