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Finding the Fourth Proportional to 216,896.64, 299,317.02 and 121,421.70

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Solution

The fourth proportional to 216,896.64, 299,317.02 and 121,421.70 is: 167,561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,896.64 : 299,317.02 = 121,421.70 : x
  2. Step 2: Convert to fraction form
    216,896.64/299,317.02 = 121,421.70/x
  3. Step 3: Cross multiply
    216,896.64x = 299,317.02 × 121,421.70
  4. Step 4: Simplify right side
    216,896.64x = 36,343,581,407.33
  5. Step 5: Solve for x
    x = 36,343,581,407.33/216,896.64
  6. Step 6: Final answer
    x = 167,561.75

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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.