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Finding the Fourth Proportional to 513,061.56, 769,693.14 and 158,015.16

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Solution

The fourth proportional to 513,061.56, 769,693.14 and 158,015.16 is: 237,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,061.56 : 769,693.14 = 158,015.16 : x
  2. Step 2: Convert to fraction form
    513,061.56/769,693.14 = 158,015.16/x
  3. Step 3: Cross multiply
    513,061.56x = 769,693.14 × 158,015.16
  4. Step 4: Simplify right side
    513,061.56x = 121,623,184,668.00
  5. Step 5: Solve for x
    x = 121,623,184,668.00/513,061.56
  6. Step 6: Final answer
    x = 237,053.78

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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.