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Finding the Fourth Proportional to 513,066.06, 769,723.66 and 158,080.07

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Solution

The fourth proportional to 513,066.06, 769,723.66 and 158,080.07 is: 237,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,066.06 : 769,723.66 = 158,080.07 : x
  2. Step 2: Convert to fraction form
    513,066.06/769,723.66 = 158,080.07/x
  3. Step 3: Cross multiply
    513,066.06x = 769,723.66 × 158,080.07
  4. Step 4: Simplify right side
    513,066.06x = 121,677,970,053.46
  5. Step 5: Solve for x
    x = 121,677,970,053.46/513,066.06
  6. Step 6: Final answer
    x = 237,158.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.