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Finding the Fourth Proportional to 179,051.52, 268,421.76 and 105,024

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Solution

The fourth proportional to 179,051.52, 268,421.76 and 105,024 is: 157,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,051.52 : 268,421.76 = 105,024 : x
  2. Step 2: Convert to fraction form
    179,051.52/268,421.76 = 105,024/x
  3. Step 3: Cross multiply
    179,051.52x = 268,421.76 × 105,024
  4. Step 4: Simplify right side
    179,051.52x = 28,190,726,922.24
  5. Step 5: Solve for x
    x = 28,190,726,922.24/179,051.52
  6. Step 6: Final answer
    x = 157,444.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.