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Finding the Fourth Proportional to 210,150.34, 290,114.49 and 162,296.26

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Solution

The fourth proportional to 210,150.34, 290,114.49 and 162,296.26 is: 224,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,150.34 : 290,114.49 = 162,296.26 : x
  2. Step 2: Convert to fraction form
    210,150.34/290,114.49 = 162,296.26/x
  3. Step 3: Cross multiply
    210,150.34x = 290,114.49 × 162,296.26
  4. Step 4: Simplify right side
    210,150.34x = 47,084,496,698.81
  5. Step 5: Solve for x
    x = 47,084,496,698.81/210,150.34
  6. Step 6: Final answer
    x = 224,051.49

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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.