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Finding the Fourth Proportional to 214,513.76, 296,056.08 and 140,988.32

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Solution

The fourth proportional to 214,513.76, 296,056.08 and 140,988.32 is: 194,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,513.76 : 296,056.08 = 140,988.32 : x
  2. Step 2: Convert to fraction form
    214,513.76/296,056.08 = 140,988.32/x
  3. Step 3: Cross multiply
    214,513.76x = 296,056.08 × 140,988.32
  4. Step 4: Simplify right side
    214,513.76x = 41,740,449,344.99
  5. Step 5: Solve for x
    x = 41,740,449,344.99/214,513.76
  6. Step 6: Final answer
    x = 194,581.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.