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Finding the Fourth Proportional to 210,203.20, 290,081.22 and 114,712

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Solution

The fourth proportional to 210,203.20, 290,081.22 and 114,712 is: 158,303.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,203.20 : 290,081.22 = 114,712 : x
  2. Step 2: Convert to fraction form
    210,203.20/290,081.22 = 114,712/x
  3. Step 3: Cross multiply
    210,203.20x = 290,081.22 × 114,712
  4. Step 4: Simplify right side
    210,203.20x = 33,275,796,908.64
  5. Step 5: Solve for x
    x = 33,275,796,908.64/210,203.20
  6. Step 6: Final answer
    x = 158,303.00

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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.