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Finding the Fourth Proportional to 213,228.80, 319,148.84 and 157,046.80

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Solution

The fourth proportional to 213,228.80, 319,148.84 and 157,046.80 is: 235,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,228.80 : 319,148.84 = 157,046.80 : x
  2. Step 2: Convert to fraction form
    213,228.80/319,148.84 = 157,046.80/x
  3. Step 3: Cross multiply
    213,228.80x = 319,148.84 × 157,046.80
  4. Step 4: Simplify right side
    213,228.80x = 50,121,304,045.71
  5. Step 5: Solve for x
    x = 50,121,304,045.71/213,228.80
  6. Step 6: Final answer
    x = 235,058.79

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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.