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Finding the Fourth Proportional to 211,952.48, 292,491.05 and 116,457.12

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Solution

The fourth proportional to 211,952.48, 292,491.05 and 116,457.12 is: 160,708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,952.48 : 292,491.05 = 116,457.12 : x
  2. Step 2: Convert to fraction form
    211,952.48/292,491.05 = 116,457.12/x
  3. Step 3: Cross multiply
    211,952.48x = 292,491.05 × 116,457.12
  4. Step 4: Simplify right side
    211,952.48x = 34,062,664,726.49
  5. Step 5: Solve for x
    x = 34,062,664,726.49/211,952.48
  6. Step 6: Final answer
    x = 160,708.97

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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.