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Finding the Fourth Proportional to 265,893, 366,932.34 and 146,661

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Solution

The fourth proportional to 265,893, 366,932.34 and 146,661 is: 202,392.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,893 : 366,932.34 = 146,661 : x
  2. Step 2: Convert to fraction form
    265,893/366,932.34 = 146,661/x
  3. Step 3: Cross multiply
    265,893x = 366,932.34 × 146,661
  4. Step 4: Simplify right side
    265,893x = 53,814,663,916.74
  5. Step 5: Solve for x
    x = 53,814,663,916.74/265,893
  6. Step 6: Final answer
    x = 202,392.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.