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Finding the Fourth Proportional to 235,082.70, 324,413.10 and 127,651.86

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Solution

The fourth proportional to 235,082.70, 324,413.10 and 127,651.86 is: 176,159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,082.70 : 324,413.10 = 127,651.86 : x
  2. Step 2: Convert to fraction form
    235,082.70/324,413.10 = 127,651.86/x
  3. Step 3: Cross multiply
    235,082.70x = 324,413.10 × 127,651.86
  4. Step 4: Simplify right side
    235,082.70x = 41,411,935,623.37
  5. Step 5: Solve for x
    x = 41,411,935,623.37/235,082.70
  6. Step 6: Final answer
    x = 176,159.01

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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.