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Finding the Fourth Proportional to 211,044.63, 291,239.67 and 114,248.01

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Solution

The fourth proportional to 211,044.63, 291,239.67 and 114,248.01 is: 157,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,044.63 : 291,239.67 = 114,248.01 : x
  2. Step 2: Convert to fraction form
    211,044.63/291,239.67 = 114,248.01/x
  3. Step 3: Cross multiply
    211,044.63x = 291,239.67 × 114,248.01
  4. Step 4: Simplify right side
    211,044.63x = 33,273,552,730.56
  5. Step 5: Solve for x
    x = 33,273,552,730.56/211,044.63
  6. Step 6: Final answer
    x = 157,661.21

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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.