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Finding the Fourth Proportional to 259,590.38, 358,234.54 and 146,413.14

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Solution

The fourth proportional to 259,590.38, 358,234.54 and 146,413.14 is: 202,050.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,590.38 : 358,234.54 = 146,413.14 : x
  2. Step 2: Convert to fraction form
    259,590.38/358,234.54 = 146,413.14/x
  3. Step 3: Cross multiply
    259,590.38x = 358,234.54 × 146,413.14
  4. Step 4: Simplify right side
    259,590.38x = 52,450,243,857.86
  5. Step 5: Solve for x
    x = 52,450,243,857.86/259,590.38
  6. Step 6: Final answer
    x = 202,050.03

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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.