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Finding the Fourth Proportional to 513,005.49, 769,590.92 and 158,019.16

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Solution

The fourth proportional to 513,005.49, 769,590.92 and 158,019.16 is: 237,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,005.49 : 769,590.92 = 158,019.16 : x
  2. Step 2: Convert to fraction form
    513,005.49/769,590.92 = 158,019.16/x
  3. Step 3: Cross multiply
    513,005.49x = 769,590.92 × 158,019.16
  4. Step 4: Simplify right side
    513,005.49x = 121,610,110,722.03
  5. Step 5: Solve for x
    x = 121,610,110,722.03/513,005.49
  6. Step 6: Final answer
    x = 237,054.21

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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.