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Finding the Fourth Proportional to 150,595.14, 207,805.89 and 90,164.21

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Solution

The fourth proportional to 150,595.14, 207,805.89 and 90,164.21 is: 124,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,595.14 : 207,805.89 = 90,164.21 : x
  2. Step 2: Convert to fraction form
    150,595.14/207,805.89 = 90,164.21/x
  3. Step 3: Cross multiply
    150,595.14x = 207,805.89 × 90,164.21
  4. Step 4: Simplify right side
    150,595.14x = 18,736,654,424.71
  5. Step 5: Solve for x
    x = 18,736,654,424.71/150,595.14
  6. Step 6: Final answer
    x = 124,417.39

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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.