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Finding the Fourth Proportional to 210,208.48, 290,086.12 and 114,713.08

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Solution

The fourth proportional to 210,208.48, 290,086.12 and 114,713.08 is: 158,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,208.48 : 290,086.12 = 114,713.08 : x
  2. Step 2: Convert to fraction form
    210,208.48/290,086.12 = 114,713.08/x
  3. Step 3: Cross multiply
    210,208.48x = 290,086.12 × 114,713.08
  4. Step 4: Simplify right side
    210,208.48x = 33,276,672,290.45
  5. Step 5: Solve for x
    x = 33,276,672,290.45/210,208.48
  6. Step 6: Final answer
    x = 158,303.19

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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.