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Finding the Fourth Proportional to 109,534, 151,156.92 and 59,233

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Solution

The fourth proportional to 109,534, 151,156.92 and 59,233 is: 81,741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,534 : 151,156.92 = 59,233 : x
  2. Step 2: Convert to fraction form
    109,534/151,156.92 = 59,233/x
  3. Step 3: Cross multiply
    109,534x = 151,156.92 × 59,233
  4. Step 4: Simplify right side
    109,534x = 8,953,477,842.36
  5. Step 5: Solve for x
    x = 8,953,477,842.36/109,534
  6. Step 6: Final answer
    x = 81,741.54

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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.