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Finding the Fourth Proportional to 211,181.33, 291,437.49 and 115,688

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Solution

The fourth proportional to 211,181.33, 291,437.49 and 115,688 is: 159,653.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,181.33 : 291,437.49 = 115,688 : x
  2. Step 2: Convert to fraction form
    211,181.33/291,437.49 = 115,688/x
  3. Step 3: Cross multiply
    211,181.33x = 291,437.49 × 115,688
  4. Step 4: Simplify right side
    211,181.33x = 33,715,820,343.12
  5. Step 5: Solve for x
    x = 33,715,820,343.12/211,181.33
  6. Step 6: Final answer
    x = 159,653.41

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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.