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Finding the Fourth Proportional to 213,064.32, 293,923.44 and 139,433.16

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Solution

The fourth proportional to 213,064.32, 293,923.44 and 139,433.16 is: 192,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,064.32 : 293,923.44 = 139,433.16 : x
  2. Step 2: Convert to fraction form
    213,064.32/293,923.44 = 139,433.16/x
  3. Step 3: Cross multiply
    213,064.32x = 293,923.44 × 139,433.16
  4. Step 4: Simplify right side
    213,064.32x = 40,982,674,037.27
  5. Step 5: Solve for x
    x = 40,982,674,037.27/213,064.32
  6. Step 6: Final answer
    x = 192,348.84

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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.