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Finding the Fourth Proportional to 160,057.44, 220,925.30 and 105,649.32

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Solution

The fourth proportional to 160,057.44, 220,925.30 and 105,649.32 is: 145,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,057.44 : 220,925.30 = 105,649.32 : x
  2. Step 2: Convert to fraction form
    160,057.44/220,925.30 = 105,649.32/x
  3. Step 3: Cross multiply
    160,057.44x = 220,925.30 × 105,649.32
  4. Step 4: Simplify right side
    160,057.44x = 23,340,607,187.55
  5. Step 5: Solve for x
    x = 23,340,607,187.55/160,057.44
  6. Step 6: Final answer
    x = 145,826.44

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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.