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Finding the Fourth Proportional to 210,243.08, 290,136.48 and 114,752

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Solution

The fourth proportional to 210,243.08, 290,136.48 and 114,752 is: 158,358.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,243.08 : 290,136.48 = 114,752 : x
  2. Step 2: Convert to fraction form
    210,243.08/290,136.48 = 114,752/x
  3. Step 3: Cross multiply
    210,243.08x = 290,136.48 × 114,752
  4. Step 4: Simplify right side
    210,243.08x = 33,293,741,352.96
  5. Step 5: Solve for x
    x = 33,293,741,352.96/210,243.08
  6. Step 6: Final answer
    x = 158,358.32

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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.