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Finding the Fourth Proportional to 186,827.12, 257,754.03 and 143,819.76

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Solution

The fourth proportional to 186,827.12, 257,754.03 and 143,819.76 is: 198,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,827.12 : 257,754.03 = 143,819.76 : x
  2. Step 2: Convert to fraction form
    186,827.12/257,754.03 = 143,819.76/x
  3. Step 3: Cross multiply
    186,827.12x = 257,754.03 × 143,819.76
  4. Step 4: Simplify right side
    186,827.12x = 37,070,122,733.63
  5. Step 5: Solve for x
    x = 37,070,122,733.63/186,827.12
  6. Step 6: Final answer
    x = 198,419.39

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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.