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Finding the Fourth Proportional to 210,986.16, 291,161.16 and 115,498.86

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Solution

The fourth proportional to 210,986.16, 291,161.16 and 115,498.86 is: 159,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,986.16 : 291,161.16 = 115,498.86 : x
  2. Step 2: Convert to fraction form
    210,986.16/291,161.16 = 115,498.86/x
  3. Step 3: Cross multiply
    210,986.16x = 291,161.16 × 115,498.86
  4. Step 4: Simplify right side
    210,986.16x = 33,628,782,056.28
  5. Step 5: Solve for x
    x = 33,628,782,056.28/210,986.16
  6. Step 6: Final answer
    x = 159,388.57

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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.