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Finding the Fourth Proportional to 160,496.16, 221,492.64 and 88,884

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Solution

The fourth proportional to 160,496.16, 221,492.64 and 88,884 is: 122,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,496.16 : 221,492.64 = 88,884 : x
  2. Step 2: Convert to fraction form
    160,496.16/221,492.64 = 88,884/x
  3. Step 3: Cross multiply
    160,496.16x = 221,492.64 × 88,884
  4. Step 4: Simplify right side
    160,496.16x = 19,687,151,813.76
  5. Step 5: Solve for x
    x = 19,687,151,813.76/160,496.16
  6. Step 6: Final answer
    x = 122,664.32

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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.