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Finding the Fourth Proportional to 177,133.20, 266,109.40 and 121,837.20

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Solution

The fourth proportional to 177,133.20, 266,109.40 and 121,837.20 is: 183,037.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,133.20 : 266,109.40 = 121,837.20 : x
  2. Step 2: Convert to fraction form
    177,133.20/266,109.40 = 121,837.20/x
  3. Step 3: Cross multiply
    177,133.20x = 266,109.40 × 121,837.20
  4. Step 4: Simplify right side
    177,133.20x = 32,422,024,189.68
  5. Step 5: Solve for x
    x = 32,422,024,189.68/177,133.20
  6. Step 6: Final answer
    x = 183,037.53

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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.