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Finding the Fourth Proportional to 160,570.16, 221,599.32 and 88,956.80

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Solution

The fourth proportional to 160,570.16, 221,599.32 and 88,956.80 is: 122,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,570.16 : 221,599.32 = 88,956.80 : x
  2. Step 2: Convert to fraction form
    160,570.16/221,599.32 = 88,956.80/x
  3. Step 3: Cross multiply
    160,570.16x = 221,599.32 × 88,956.80
  4. Step 4: Simplify right side
    160,570.16x = 19,712,766,389.38
  5. Step 5: Solve for x
    x = 19,712,766,389.38/160,570.16
  6. Step 6: Final answer
    x = 122,767.31

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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.