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Finding the Fourth Proportional to 210,502.54, 290,490.10 and 115,007.19

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Solution

The fourth proportional to 210,502.54, 290,490.10 and 115,007.19 is: 158,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,502.54 : 290,490.10 = 115,007.19 : x
  2. Step 2: Convert to fraction form
    210,502.54/290,490.10 = 115,007.19/x
  3. Step 3: Cross multiply
    210,502.54x = 290,490.10 × 115,007.19
  4. Step 4: Simplify right side
    210,502.54x = 33,408,450,123.82
  5. Step 5: Solve for x
    x = 33,408,450,123.82/210,502.54
  6. Step 6: Final answer
    x = 158,708.06

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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.