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Finding the Fourth Proportional to 155,145.09, 232,713 and 42,832.16

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Solution

The fourth proportional to 155,145.09, 232,713 and 42,832.16 is: 64,246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,145.09 : 232,713 = 42,832.16 : x
  2. Step 2: Convert to fraction form
    155,145.09/232,713 = 42,832.16/x
  3. Step 3: Cross multiply
    155,145.09x = 232,713 × 42,832.16
  4. Step 4: Simplify right side
    155,145.09x = 9,967,601,031.86
  5. Step 5: Solve for x
    x = 9,967,601,031.86/155,145.09
  6. Step 6: Final answer
    x = 64,246.96

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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.