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Finding the Fourth Proportional to 210,394.66, 290,345.70 and 114,901.36

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Solution

The fourth proportional to 210,394.66, 290,345.70 and 114,901.36 is: 158,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,394.66 : 290,345.70 = 114,901.36 : x
  2. Step 2: Convert to fraction form
    210,394.66/290,345.70 = 114,901.36/x
  3. Step 3: Cross multiply
    210,394.66x = 290,345.70 × 114,901.36
  4. Step 4: Simplify right side
    210,394.66x = 33,361,115,800.15
  5. Step 5: Solve for x
    x = 33,361,115,800.15/210,394.66
  6. Step 6: Final answer
    x = 158,564.46

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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.