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Finding the Fourth Proportional to 160,014.72, 220,822.16 and 88,393.24

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Solution

The fourth proportional to 160,014.72, 220,822.16 and 88,393.24 is: 121,983.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,014.72 : 220,822.16 = 88,393.24 : x
  2. Step 2: Convert to fraction form
    160,014.72/220,822.16 = 88,393.24/x
  3. Step 3: Cross multiply
    160,014.72x = 220,822.16 × 88,393.24
  4. Step 4: Simplify right side
    160,014.72x = 19,519,186,186.20
  5. Step 5: Solve for x
    x = 19,519,186,186.20/160,014.72
  6. Step 6: Final answer
    x = 121,983.69

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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.