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Finding the Fourth Proportional to 175,098.90, 262,648.35 and 164,730.90

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Solution

The fourth proportional to 175,098.90, 262,648.35 and 164,730.90 is: 247,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,098.90 : 262,648.35 = 164,730.90 : x
  2. Step 2: Convert to fraction form
    175,098.90/262,648.35 = 164,730.90/x
  3. Step 3: Cross multiply
    175,098.90x = 262,648.35 × 164,730.90
  4. Step 4: Simplify right side
    175,098.90x = 43,266,299,079.02
  5. Step 5: Solve for x
    x = 43,266,299,079.02/175,098.90
  6. Step 6: Final answer
    x = 247,096.35

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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.