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Finding the Fourth Proportional to 160,431.16, 221,398.14 and 88,809.16

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Solution

The fourth proportional to 160,431.16, 221,398.14 and 88,809.16 is: 122,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,431.16 : 221,398.14 = 88,809.16 : x
  2. Step 2: Convert to fraction form
    160,431.16/221,398.14 = 88,809.16/x
  3. Step 3: Cross multiply
    160,431.16x = 221,398.14 × 88,809.16
  4. Step 4: Simplify right side
    160,431.16x = 19,662,182,838.96
  5. Step 5: Solve for x
    x = 19,662,182,838.96/160,431.16
  6. Step 6: Final answer
    x = 122,558.38

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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.