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Finding the Fourth Proportional to 160,494.96, 221,482.92 and 88,875

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Solution

The fourth proportional to 160,494.96, 221,482.92 and 88,875 is: 122,647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,494.96 : 221,482.92 = 88,875 : x
  2. Step 2: Convert to fraction form
    160,494.96/221,482.92 = 88,875/x
  3. Step 3: Cross multiply
    160,494.96x = 221,482.92 × 88,875
  4. Step 4: Simplify right side
    160,494.96x = 19,684,294,515
  5. Step 5: Solve for x
    x = 19,684,294,515/160,494.96
  6. Step 6: Final answer
    x = 122,647.43

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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.