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Finding the Fourth Proportional to 114,564.60, 171,701.10 and 102,025.80

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Solution

The fourth proportional to 114,564.60, 171,701.10 and 102,025.80 is: 152,908.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,564.60 : 171,701.10 = 102,025.80 : x
  2. Step 2: Convert to fraction form
    114,564.60/171,701.10 = 102,025.80/x
  3. Step 3: Cross multiply
    114,564.60x = 171,701.10 × 102,025.80
  4. Step 4: Simplify right side
    114,564.60x = 17,517,942,088.38
  5. Step 5: Solve for x
    x = 17,517,942,088.38/114,564.60
  6. Step 6: Final answer
    x = 152,908.86

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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.