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Finding the Fourth Proportional to 230,467.80, 317,932.51 and 154,005.66

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Solution

The fourth proportional to 230,467.80, 317,932.51 and 154,005.66 is: 212,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,467.80 : 317,932.51 = 154,005.66 : x
  2. Step 2: Convert to fraction form
    230,467.80/317,932.51 = 154,005.66/x
  3. Step 3: Cross multiply
    230,467.80x = 317,932.51 × 154,005.66
  4. Step 4: Simplify right side
    230,467.80x = 48,963,406,038.01
  5. Step 5: Solve for x
    x = 48,963,406,038.01/230,467.80
  6. Step 6: Final answer
    x = 212,452.27

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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.