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Finding the Fourth Proportional to 129,193.16, 193,619.64 and 69,214.69

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Solution

The fourth proportional to 129,193.16, 193,619.64 and 69,214.69 is: 103,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,193.16 : 193,619.64 = 69,214.69 : x
  2. Step 2: Convert to fraction form
    129,193.16/193,619.64 = 69,214.69/x
  3. Step 3: Cross multiply
    129,193.16x = 193,619.64 × 69,214.69
  4. Step 4: Simplify right side
    129,193.16x = 13,401,323,360.51
  5. Step 5: Solve for x
    x = 13,401,323,360.51/129,193.16
  6. Step 6: Final answer
    x = 103,730.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.