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Finding the Fourth Proportional to 211,466.94, 291,824.40 and 115,975.63

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Solution

The fourth proportional to 211,466.94, 291,824.40 and 115,975.63 is: 160,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,466.94 : 291,824.40 = 115,975.63 : x
  2. Step 2: Convert to fraction form
    211,466.94/291,824.40 = 115,975.63/x
  3. Step 3: Cross multiply
    211,466.94x = 291,824.40 × 115,975.63
  4. Step 4: Simplify right side
    211,466.94x = 33,844,518,639.37
  5. Step 5: Solve for x
    x = 33,844,518,639.37/211,466.94
  6. Step 6: Final answer
    x = 160,046.38

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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.