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Finding the Fourth Proportional to 160,192, 221,056.32 and 88,567.84

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Solution

The fourth proportional to 160,192, 221,056.32 and 88,567.84 is: 122,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,192 : 221,056.32 = 88,567.84 : x
  2. Step 2: Convert to fraction form
    160,192/221,056.32 = 88,567.84/x
  3. Step 3: Cross multiply
    160,192x = 221,056.32 × 88,567.84
  4. Step 4: Simplify right side
    160,192x = 19,578,480,780.75
  5. Step 5: Solve for x
    x = 19,578,480,780.75/160,192
  6. Step 6: Final answer
    x = 122,218.84

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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.