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Finding the Fourth Proportional to 154,029.92, 230,946.01 and 64,134.91

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Solution

The fourth proportional to 154,029.92, 230,946.01 and 64,134.91 is: 96,161.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,029.92 : 230,946.01 = 64,134.91 : x
  2. Step 2: Convert to fraction form
    154,029.92/230,946.01 = 64,134.91/x
  3. Step 3: Cross multiply
    154,029.92x = 230,946.01 × 64,134.91
  4. Step 4: Simplify right side
    154,029.92x = 14,811,700,090.80
  5. Step 5: Solve for x
    x = 14,811,700,090.80/154,029.92
  6. Step 6: Final answer
    x = 96,161.19

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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.