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Finding the Fourth Proportional to 243,804.14, 365,778.65 and 117,407.84

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Solution

The fourth proportional to 243,804.14, 365,778.65 and 117,407.84 is: 176,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,804.14 : 365,778.65 = 117,407.84 : x
  2. Step 2: Convert to fraction form
    243,804.14/365,778.65 = 117,407.84/x
  3. Step 3: Cross multiply
    243,804.14x = 365,778.65 × 117,407.84
  4. Step 4: Simplify right side
    243,804.14x = 42,945,278,798.68
  5. Step 5: Solve for x
    x = 42,945,278,798.68/243,804.14
  6. Step 6: Final answer
    x = 176,146.64

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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.