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Finding the Fourth Proportional to 160,186, 221,048.04 and 88,561.84

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Solution

The fourth proportional to 160,186, 221,048.04 and 88,561.84 is: 122,210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,186 : 221,048.04 = 88,561.84 : x
  2. Step 2: Convert to fraction form
    160,186/221,048.04 = 88,561.84/x
  3. Step 3: Cross multiply
    160,186x = 221,048.04 × 88,561.84
  4. Step 4: Simplify right side
    160,186x = 19,576,421,150.79
  5. Step 5: Solve for x
    x = 19,576,421,150.79/160,186
  6. Step 6: Final answer
    x = 122,210.56

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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.