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Finding the Fourth Proportional to 154,061.66, 230,939.40 and 107,216.12

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Solution

The fourth proportional to 154,061.66, 230,939.40 and 107,216.12 is: 160,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,061.66 : 230,939.40 = 107,216.12 : x
  2. Step 2: Convert to fraction form
    154,061.66/230,939.40 = 107,216.12/x
  3. Step 3: Cross multiply
    154,061.66x = 230,939.40 × 107,216.12
  4. Step 4: Simplify right side
    154,061.66x = 24,760,426,423.13
  5. Step 5: Solve for x
    x = 24,760,426,423.13/154,061.66
  6. Step 6: Final answer
    x = 160,717.64

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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.