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Finding the Fourth Proportional to 114,701.20, 171,706.20 and 102,259.60

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Solution

The fourth proportional to 114,701.20, 171,706.20 and 102,259.60 is: 153,081.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,701.20 : 171,706.20 = 102,259.60 : x
  2. Step 2: Convert to fraction form
    114,701.20/171,706.20 = 102,259.60/x
  3. Step 3: Cross multiply
    114,701.20x = 171,706.20 × 102,259.60
  4. Step 4: Simplify right side
    114,701.20x = 17,558,607,329.52
  5. Step 5: Solve for x
    x = 17,558,607,329.52/114,701.20
  6. Step 6: Final answer
    x = 153,081.29

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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.