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Finding the Fourth Proportional to 174,065, 261,060.90 and 85,229

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Solution

The fourth proportional to 174,065, 261,060.90 and 85,229 is: 127,825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,065 : 261,060.90 = 85,229 : x
  2. Step 2: Convert to fraction form
    174,065/261,060.90 = 85,229/x
  3. Step 3: Cross multiply
    174,065x = 261,060.90 × 85,229
  4. Step 4: Simplify right side
    174,065x = 22,249,959,446.10
  5. Step 5: Solve for x
    x = 22,249,959,446.10/174,065
  6. Step 6: Final answer
    x = 127,825.58

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Why These Related Problems?

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