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Finding the Fourth Proportional to 114,735.66, 172,120.96 and 58,545.06

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Solution

The fourth proportional to 114,735.66, 172,120.96 and 58,545.06 is: 87,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,735.66 : 172,120.96 = 58,545.06 : x
  2. Step 2: Convert to fraction form
    114,735.66/172,120.96 = 58,545.06/x
  3. Step 3: Cross multiply
    114,735.66x = 172,120.96 × 58,545.06
  4. Step 4: Simplify right side
    114,735.66x = 10,076,831,930.46
  5. Step 5: Solve for x
    x = 10,076,831,930.46/114,735.66
  6. Step 6: Final answer
    x = 87,826.50

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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.