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Finding the Fourth Proportional to 161,612.53, 223,023.14 and 89,014.01

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Solution

The fourth proportional to 161,612.53, 223,023.14 and 89,014.01 is: 122,838.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,612.53 : 223,023.14 = 89,014.01 : x
  2. Step 2: Convert to fraction form
    161,612.53/223,023.14 = 89,014.01/x
  3. Step 3: Cross multiply
    161,612.53x = 223,023.14 × 89,014.01
  4. Step 4: Simplify right side
    161,612.53x = 19,852,183,569.12
  5. Step 5: Solve for x
    x = 19,852,183,569.12/161,612.53
  6. Step 6: Final answer
    x = 122,838.15

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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.