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Finding the Fourth Proportional to 102,648.60, 153,972.90 and 58,411.80

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Solution

The fourth proportional to 102,648.60, 153,972.90 and 58,411.80 is: 87,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,648.60 : 153,972.90 = 58,411.80 : x
  2. Step 2: Convert to fraction form
    102,648.60/153,972.90 = 58,411.80/x
  3. Step 3: Cross multiply
    102,648.60x = 153,972.90 × 58,411.80
  4. Step 4: Simplify right side
    102,648.60x = 8,993,834,240.22
  5. Step 5: Solve for x
    x = 8,993,834,240.22/102,648.60
  6. Step 6: Final answer
    x = 87,617.70

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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.