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Finding the Fourth Proportional to 213,686.81, 319,948.48 and 150,412.04

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Solution

The fourth proportional to 213,686.81, 319,948.48 and 150,412.04 is: 225,208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,686.81 : 319,948.48 = 150,412.04 : x
  2. Step 2: Convert to fraction form
    213,686.81/319,948.48 = 150,412.04/x
  3. Step 3: Cross multiply
    213,686.81x = 319,948.48 × 150,412.04
  4. Step 4: Simplify right side
    213,686.81x = 48,124,103,359.78
  5. Step 5: Solve for x
    x = 48,124,103,359.78/213,686.81
  6. Step 6: Final answer
    x = 225,208.58

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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.