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Finding the Fourth Proportional to 153,507.60, 230,245.38 and 41,199.84

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Solution

The fourth proportional to 153,507.60, 230,245.38 and 41,199.84 is: 61,795.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,507.60 : 230,245.38 = 41,199.84 : x
  2. Step 2: Convert to fraction form
    153,507.60/230,245.38 = 41,199.84/x
  3. Step 3: Cross multiply
    153,507.60x = 230,245.38 × 41,199.84
  4. Step 4: Simplify right side
    153,507.60x = 9,486,072,816.74
  5. Step 5: Solve for x
    x = 9,486,072,816.74/153,507.60
  6. Step 6: Final answer
    x = 61,795.46

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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.