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Finding the Fourth Proportional to 265,140.39, 365,901.44 and 144,289.47

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Solution

The fourth proportional to 265,140.39, 365,901.44 and 144,289.47 is: 199,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,140.39 : 365,901.44 = 144,289.47 : x
  2. Step 2: Convert to fraction form
    265,140.39/365,901.44 = 144,289.47/x
  3. Step 3: Cross multiply
    265,140.39x = 365,901.44 × 144,289.47
  4. Step 4: Simplify right side
    265,140.39x = 52,795,723,442.32
  5. Step 5: Solve for x
    x = 52,795,723,442.32/265,140.39
  6. Step 6: Final answer
    x = 199,123.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.