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Finding the Fourth Proportional to 169,374, 233,719.32 and 97,777.12

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Solution

The fourth proportional to 169,374, 233,719.32 and 97,777.12 is: 134,922.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,374 : 233,719.32 = 97,777.12 : x
  2. Step 2: Convert to fraction form
    169,374/233,719.32 = 97,777.12/x
  3. Step 3: Cross multiply
    169,374x = 233,719.32 × 97,777.12
  4. Step 4: Simplify right side
    169,374x = 22,852,401,997.96
  5. Step 5: Solve for x
    x = 22,852,401,997.96/169,374
  6. Step 6: Final answer
    x = 134,922.73

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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.