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Finding the Fourth Proportional to 210,982.76, 291,156.30 and 115,490

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Solution

The fourth proportional to 210,982.76, 291,156.30 and 115,490 is: 159,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,982.76 : 291,156.30 = 115,490 : x
  2. Step 2: Convert to fraction form
    210,982.76/291,156.30 = 115,490/x
  3. Step 3: Cross multiply
    210,982.76x = 291,156.30 × 115,490
  4. Step 4: Simplify right side
    210,982.76x = 33,625,641,087
  5. Step 5: Solve for x
    x = 33,625,641,087/210,982.76
  6. Step 6: Final answer
    x = 159,376.25

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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.