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Finding the Fourth Proportional to 174,427.90, 261,641.85 and 164,059.90

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Solution

The fourth proportional to 174,427.90, 261,641.85 and 164,059.90 is: 246,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,427.90 : 261,641.85 = 164,059.90 : x
  2. Step 2: Convert to fraction form
    174,427.90/261,641.85 = 164,059.90/x
  3. Step 3: Cross multiply
    174,427.90x = 261,641.85 × 164,059.90
  4. Step 4: Simplify right side
    174,427.90x = 42,924,935,746.82
  5. Step 5: Solve for x
    x = 42,924,935,746.82/174,427.90
  6. Step 6: Final answer
    x = 246,089.85

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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.