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Finding the Fourth Proportional to 210,970.38, 291,139.44 and 115,483.11

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Solution

The fourth proportional to 210,970.38, 291,139.44 and 115,483.11 is: 159,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,970.38 : 291,139.44 = 115,483.11 : x
  2. Step 2: Convert to fraction form
    210,970.38/291,139.44 = 115,483.11/x
  3. Step 3: Cross multiply
    210,970.38x = 291,139.44 × 115,483.11
  4. Step 4: Simplify right side
    210,970.38x = 33,621,687,974.86
  5. Step 5: Solve for x
    x = 33,621,687,974.86/210,970.38
  6. Step 6: Final answer
    x = 159,366.86

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Why These Related Problems?

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