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Finding the Fourth Proportional to 210,784.47, 290,889.48 and 115,291.16

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Solution

The fourth proportional to 210,784.47, 290,889.48 and 115,291.16 is: 159,105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,784.47 : 290,889.48 = 115,291.16 : x
  2. Step 2: Convert to fraction form
    210,784.47/290,889.48 = 115,291.16/x
  3. Step 3: Cross multiply
    210,784.47x = 290,889.48 × 115,291.16
  4. Step 4: Simplify right side
    210,784.47x = 33,536,984,126.55
  5. Step 5: Solve for x
    x = 33,536,984,126.55/210,784.47
  6. Step 6: Final answer
    x = 159,105.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.