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Finding the Fourth Proportional to 210,981.76, 291,154.92 and 115,489

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Solution

The fourth proportional to 210,981.76, 291,154.92 and 115,489 is: 159,374.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,981.76 : 291,154.92 = 115,489 : x
  2. Step 2: Convert to fraction form
    210,981.76/291,154.92 = 115,489/x
  3. Step 3: Cross multiply
    210,981.76x = 291,154.92 × 115,489
  4. Step 4: Simplify right side
    210,981.76x = 33,625,190,555.88
  5. Step 5: Solve for x
    x = 33,625,190,555.88/210,981.76
  6. Step 6: Final answer
    x = 159,374.87

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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.