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Finding the Fourth Proportional to 114,648.60, 171,827.10 and 102,109.80

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Solution

The fourth proportional to 114,648.60, 171,827.10 and 102,109.80 is: 153,034.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,648.60 : 171,827.10 = 102,109.80 : x
  2. Step 2: Convert to fraction form
    114,648.60/171,827.10 = 102,109.80/x
  3. Step 3: Cross multiply
    114,648.60x = 171,827.10 × 102,109.80
  4. Step 4: Simplify right side
    114,648.60x = 17,545,230,815.58
  5. Step 5: Solve for x
    x = 17,545,230,815.58/114,648.60
  6. Step 6: Final answer
    x = 153,034.85

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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.