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Finding the Fourth Proportional to 115,998, 160,074.51 and 68,254.44

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Solution

The fourth proportional to 115,998, 160,074.51 and 68,254.44 is: 94,189.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,998 : 160,074.51 = 68,254.44 : x
  2. Step 2: Convert to fraction form
    115,998/160,074.51 = 68,254.44/x
  3. Step 3: Cross multiply
    115,998x = 160,074.51 × 68,254.44
  4. Step 4: Simplify right side
    115,998x = 10,925,796,038.32
  5. Step 5: Solve for x
    x = 10,925,796,038.32/115,998
  6. Step 6: Final answer
    x = 94,189.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.