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Finding the Fourth Proportional to 230,893.59, 346,252.13 and 110,916.35

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Solution

The fourth proportional to 230,893.59, 346,252.13 and 110,916.35 is: 166,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,893.59 : 346,252.13 = 110,916.35 : x
  2. Step 2: Convert to fraction form
    230,893.59/346,252.13 = 110,916.35/x
  3. Step 3: Cross multiply
    230,893.59x = 346,252.13 × 110,916.35
  4. Step 4: Simplify right side
    230,893.59x = 38,405,024,439.44
  5. Step 5: Solve for x
    x = 38,405,024,439.44/230,893.59
  6. Step 6: Final answer
    x = 166,332.14

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1.5x scale

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.