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Finding the Fourth Proportional to 157,245.86, 235,671.92 and 123,834

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Solution

The fourth proportional to 157,245.86, 235,671.92 and 123,834 is: 185,595.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,245.86 : 235,671.92 = 123,834 : x
  2. Step 2: Convert to fraction form
    157,245.86/235,671.92 = 123,834/x
  3. Step 3: Cross multiply
    157,245.86x = 235,671.92 × 123,834
  4. Step 4: Simplify right side
    157,245.86x = 29,184,196,541.28
  5. Step 5: Solve for x
    x = 29,184,196,541.28/157,245.86
  6. Step 6: Final answer
    x = 185,595.96

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