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Finding the Fourth Proportional to 176,142.96, 243,074.21 and 107,207.50

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Solution

The fourth proportional to 176,142.96, 243,074.21 and 107,207.50 is: 147,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,142.96 : 243,074.21 = 107,207.50 : x
  2. Step 2: Convert to fraction form
    176,142.96/243,074.21 = 107,207.50/x
  3. Step 3: Cross multiply
    176,142.96x = 243,074.21 × 107,207.50
  4. Step 4: Simplify right side
    176,142.96x = 26,059,378,636.59
  5. Step 5: Solve for x
    x = 26,059,378,636.59/176,142.96
  6. Step 6: Final answer
    x = 147,944.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.