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Finding the Fourth Proportional to 129,114, 193,678.29 and 46,008

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Solution

The fourth proportional to 129,114, 193,678.29 and 46,008 is: 69,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,114 : 193,678.29 = 46,008 : x
  2. Step 2: Convert to fraction form
    129,114/193,678.29 = 46,008/x
  3. Step 3: Cross multiply
    129,114x = 193,678.29 × 46,008
  4. Step 4: Simplify right side
    129,114x = 8,910,750,766.32
  5. Step 5: Solve for x
    x = 8,910,750,766.32/129,114
  6. Step 6: Final answer
    x = 69,014.60

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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.