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Finding the Fourth Proportional to 210,149.46, 290,005.86 and 114,656.22

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Solution

The fourth proportional to 210,149.46, 290,005.86 and 114,656.22 is: 158,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,149.46 : 290,005.86 = 114,656.22 : x
  2. Step 2: Convert to fraction form
    210,149.46/290,005.86 = 114,656.22/x
  3. Step 3: Cross multiply
    210,149.46x = 290,005.86 × 114,656.22
  4. Step 4: Simplify right side
    210,149.46x = 33,250,975,685.45
  5. Step 5: Solve for x
    x = 33,250,975,685.45/210,149.46
  6. Step 6: Final answer
    x = 158,225.37

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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.