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Finding the Fourth Proportional to 174,315.70, 261,646.35 and 85,669.30

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Solution

The fourth proportional to 174,315.70, 261,646.35 and 85,669.30 is: 128,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,315.70 : 261,646.35 = 85,669.30 : x
  2. Step 2: Convert to fraction form
    174,315.70/261,646.35 = 85,669.30/x
  3. Step 3: Cross multiply
    174,315.70x = 261,646.35 × 85,669.30
  4. Step 4: Simplify right side
    174,315.70x = 22,415,059,652.06
  5. Step 5: Solve for x
    x = 22,415,059,652.06/174,315.70
  6. Step 6: Final answer
    x = 128,588.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.