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Finding the Fourth Proportional to 210,505.71, 290,502.06 and 115,018.32

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Solution

The fourth proportional to 210,505.71, 290,502.06 and 115,018.32 is: 158,727.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,505.71 : 290,502.06 = 115,018.32 : x
  2. Step 2: Convert to fraction form
    210,505.71/290,502.06 = 115,018.32/x
  3. Step 3: Cross multiply
    210,505.71x = 290,502.06 × 115,018.32
  4. Step 4: Simplify right side
    210,505.71x = 33,413,058,897.74
  5. Step 5: Solve for x
    x = 33,413,058,897.74/210,505.71
  6. Step 6: Final answer
    x = 158,727.57

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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.