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Finding the Fourth Proportional to 77,714.16, 116,483.04 and 68,336.04

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Solution

The fourth proportional to 77,714.16, 116,483.04 and 68,336.04 is: 102,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,714.16 : 116,483.04 = 68,336.04 : x
  2. Step 2: Convert to fraction form
    77,714.16/116,483.04 = 68,336.04/x
  3. Step 3: Cross multiply
    77,714.16x = 116,483.04 × 68,336.04
  4. Step 4: Simplify right side
    77,714.16x = 7,959,989,680.76
  5. Step 5: Solve for x
    x = 7,959,989,680.76/77,714.16
  6. Step 6: Final answer
    x = 102,426.50

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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.