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Finding the Fourth Proportional to 235,412.82, 324,881.55 and 144,773.82

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Solution

The fourth proportional to 235,412.82, 324,881.55 and 144,773.82 is: 199,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,412.82 : 324,881.55 = 144,773.82 : x
  2. Step 2: Convert to fraction form
    235,412.82/324,881.55 = 144,773.82/x
  3. Step 3: Cross multiply
    235,412.82x = 324,881.55 × 144,773.82
  4. Step 4: Simplify right side
    235,412.82x = 47,034,343,041.02
  5. Step 5: Solve for x
    x = 47,034,343,041.02/235,412.82
  6. Step 6: Final answer
    x = 199,795.16

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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.