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Finding the Fourth Proportional to 114,535, 158,058.39 and 64,234

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Solution

The fourth proportional to 114,535, 158,058.39 and 64,234 is: 88,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,535 : 158,058.39 = 64,234 : x
  2. Step 2: Convert to fraction form
    114,535/158,058.39 = 64,234/x
  3. Step 3: Cross multiply
    114,535x = 158,058.39 × 64,234
  4. Step 4: Simplify right side
    114,535x = 10,152,722,623.26
  5. Step 5: Solve for x
    x = 10,152,722,623.26/114,535
  6. Step 6: Final answer
    x = 88,642.97

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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.