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Finding the Fourth Proportional to 158,206.08, 218,281.16 and 90,198.26

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Solution

The fourth proportional to 158,206.08, 218,281.16 and 90,198.26 is: 124,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,206.08 : 218,281.16 = 90,198.26 : x
  2. Step 2: Convert to fraction form
    158,206.08/218,281.16 = 90,198.26/x
  3. Step 3: Cross multiply
    158,206.08x = 218,281.16 × 90,198.26
  4. Step 4: Simplify right side
    158,206.08x = 19,688,579,280.38
  5. Step 5: Solve for x
    x = 19,688,579,280.38/158,206.08
  6. Step 6: Final answer
    x = 124,448.94

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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.