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Finding the Fourth Proportional to 196,755.21, 295,160.31 and 96,916.23

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Solution

The fourth proportional to 196,755.21, 295,160.31 and 96,916.23 is: 145,387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,755.21 : 295,160.31 = 96,916.23 : x
  2. Step 2: Convert to fraction form
    196,755.21/295,160.31 = 96,916.23/x
  3. Step 3: Cross multiply
    196,755.21x = 295,160.31 × 96,916.23
  4. Step 4: Simplify right side
    196,755.21x = 28,605,824,490.83
  5. Step 5: Solve for x
    x = 28,605,824,490.83/196,755.21
  6. Step 6: Final answer
    x = 145,387.89

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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.