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Finding the Fourth Proportional to 156,010.44, 233,803.61 and 65,978.31

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Solution

The fourth proportional to 156,010.44, 233,803.61 and 65,978.31 is: 98,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,010.44 : 233,803.61 = 65,978.31 : x
  2. Step 2: Convert to fraction form
    156,010.44/233,803.61 = 65,978.31/x
  3. Step 3: Cross multiply
    156,010.44x = 233,803.61 × 65,978.31
  4. Step 4: Simplify right side
    156,010.44x = 15,425,966,729.81
  5. Step 5: Solve for x
    x = 15,425,966,729.81/156,010.44
  6. Step 6: Final answer
    x = 98,877.78

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1.5x scale

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.