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Finding the Fourth Proportional to 358,165.92, 537,063.99 and 105,413.65

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Solution

The fourth proportional to 358,165.92, 537,063.99 and 105,413.65 is: 158,066.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,165.92 : 537,063.99 = 105,413.65 : x
  2. Step 2: Convert to fraction form
    358,165.92/537,063.99 = 105,413.65/x
  3. Step 3: Cross multiply
    358,165.92x = 537,063.99 × 105,413.65
  4. Step 4: Simplify right side
    358,165.92x = 56,613,875,469.46
  5. Step 5: Solve for x
    x = 56,613,875,469.46/358,165.92
  6. Step 6: Final answer
    x = 158,066.06

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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.