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Finding the Fourth Proportional to 210,812.96, 290,924.34 and 115,317.60

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Solution

The fourth proportional to 210,812.96, 290,924.34 and 115,317.60 is: 159,139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,812.96 : 290,924.34 = 115,317.60 : x
  2. Step 2: Convert to fraction form
    210,812.96/290,924.34 = 115,317.60/x
  3. Step 3: Cross multiply
    210,812.96x = 290,924.34 × 115,317.60
  4. Step 4: Simplify right side
    210,812.96x = 33,548,696,670.38
  5. Step 5: Solve for x
    x = 33,548,696,670.38/210,812.96
  6. Step 6: Final answer
    x = 159,139.63

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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.