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Finding the Fourth Proportional to 210,584.32, 290,606.88 and 115,092.16

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Solution

The fourth proportional to 210,584.32, 290,606.88 and 115,092.16 is: 158,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,584.32 : 290,606.88 = 115,092.16 : x
  2. Step 2: Convert to fraction form
    210,584.32/290,606.88 = 115,092.16/x
  3. Step 3: Cross multiply
    210,584.32x = 290,606.88 × 115,092.16
  4. Step 4: Simplify right side
    210,584.32x = 33,446,573,530.06
  5. Step 5: Solve for x
    x = 33,446,573,530.06/210,584.32
  6. Step 6: Final answer
    x = 158,827.46

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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.