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Finding the Fourth Proportional to 102,557.70, 153,750.15 and 53,309.70

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Solution

The fourth proportional to 102,557.70, 153,750.15 and 53,309.70 is: 79,919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,557.70 : 153,750.15 = 53,309.70 : x
  2. Step 2: Convert to fraction form
    102,557.70/153,750.15 = 53,309.70/x
  3. Step 3: Cross multiply
    102,557.70x = 153,750.15 × 53,309.70
  4. Step 4: Simplify right side
    102,557.70x = 8,196,374,371.46
  5. Step 5: Solve for x
    x = 8,196,374,371.46/102,557.70
  6. Step 6: Final answer
    x = 79,919.64

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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.