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Finding the Fourth Proportional to 210,916.92, 291,065.16 and 115,423.56

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Solution

The fourth proportional to 210,916.92, 291,065.16 and 115,423.56 is: 159,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,916.92 : 291,065.16 = 115,423.56 : x
  2. Step 2: Convert to fraction form
    210,916.92/291,065.16 = 115,423.56/x
  3. Step 3: Cross multiply
    210,916.92x = 291,065.16 × 115,423.56
  4. Step 4: Simplify right side
    210,916.92x = 33,595,776,959.17
  5. Step 5: Solve for x
    x = 33,595,776,959.17/210,916.92
  6. Step 6: Final answer
    x = 159,284.41

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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.