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Finding the Fourth Proportional to 102,564.30, 153,889.65 and 55,850.70

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Solution

The fourth proportional to 102,564.30, 153,889.65 and 55,850.70 is: 83,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,564.30 : 153,889.65 = 55,850.70 : x
  2. Step 2: Convert to fraction form
    102,564.30/153,889.65 = 55,850.70/x
  3. Step 3: Cross multiply
    102,564.30x = 153,889.65 × 55,850.70
  4. Step 4: Simplify right side
    102,564.30x = 8,594,844,675.26
  5. Step 5: Solve for x
    x = 8,594,844,675.26/102,564.30
  6. Step 6: Final answer
    x = 83,799.57

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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.