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Finding the Fourth Proportional to 160,804.54, 221,923.89 and 89,207.63

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Solution

The fourth proportional to 160,804.54, 221,923.89 and 89,207.63 is: 123,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,804.54 : 221,923.89 = 89,207.63 : x
  2. Step 2: Convert to fraction form
    160,804.54/221,923.89 = 89,207.63/x
  3. Step 3: Cross multiply
    160,804.54x = 221,923.89 × 89,207.63
  4. Step 4: Simplify right side
    160,804.54x = 19,797,303,157.66
  5. Step 5: Solve for x
    x = 19,797,303,157.66/160,804.54
  6. Step 6: Final answer
    x = 123,114.08

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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.