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Finding the Fourth Proportional to 341,817.60, 512,719.65 and 102,093.86

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Solution

The fourth proportional to 341,817.60, 512,719.65 and 102,093.86 is: 153,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,817.60 : 512,719.65 = 102,093.86 : x
  2. Step 2: Convert to fraction form
    341,817.60/512,719.65 = 102,093.86/x
  3. Step 3: Cross multiply
    341,817.60x = 512,719.65 × 102,093.86
  4. Step 4: Simplify right side
    341,817.60x = 52,345,525,602.75
  5. Step 5: Solve for x
    x = 52,345,525,602.75/341,817.60
  6. Step 6: Final answer
    x = 153,138.77

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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.