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Finding the Fourth Proportional to 212,952.72, 293,869.61 and 117,457.37

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Solution

The fourth proportional to 212,952.72, 293,869.61 and 117,457.37 is: 162,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,952.72 : 293,869.61 = 117,457.37 : x
  2. Step 2: Convert to fraction form
    212,952.72/293,869.61 = 117,457.37/x
  3. Step 3: Cross multiply
    212,952.72x = 293,869.61 × 117,457.37
  4. Step 4: Simplify right side
    212,952.72x = 34,517,150,999.37
  5. Step 5: Solve for x
    x = 34,517,150,999.37/212,952.72
  6. Step 6: Final answer
    x = 162,088.33

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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.