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Finding the Fourth Proportional to 210,693.69, 290,777.04 and 115,214.40

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Solution

The fourth proportional to 210,693.69, 290,777.04 and 115,214.40 is: 159,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,693.69 : 290,777.04 = 115,214.40 : x
  2. Step 2: Convert to fraction form
    210,693.69/290,777.04 = 115,214.40/x
  3. Step 3: Cross multiply
    210,693.69x = 290,777.04 × 115,214.40
  4. Step 4: Simplify right side
    210,693.69x = 33,501,702,197.38
  5. Step 5: Solve for x
    x = 33,501,702,197.38/210,693.69
  6. Step 6: Final answer
    x = 159,006.67

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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.