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Finding the Fourth Proportional to 156,060.16, 233,978.46 and 66,108.94

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Solution

The fourth proportional to 156,060.16, 233,978.46 and 66,108.94 is: 99,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,060.16 : 233,978.46 = 66,108.94 : x
  2. Step 2: Convert to fraction form
    156,060.16/233,978.46 = 66,108.94/x
  3. Step 3: Cross multiply
    156,060.16x = 233,978.46 × 66,108.94
  4. Step 4: Simplify right side
    156,060.16x = 15,468,067,973.43
  5. Step 5: Solve for x
    x = 15,468,067,973.43/156,060.16
  6. Step 6: Final answer
    x = 99,116.06

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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.