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Finding the Fourth Proportional to 211,963.14, 292,509.08 and 116,476

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Solution

The fourth proportional to 211,963.14, 292,509.08 and 116,476 is: 160,736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,963.14 : 292,509.08 = 116,476 : x
  2. Step 2: Convert to fraction form
    211,963.14/292,509.08 = 116,476/x
  3. Step 3: Cross multiply
    211,963.14x = 292,509.08 × 116,476
  4. Step 4: Simplify right side
    211,963.14x = 34,070,287,602.08
  5. Step 5: Solve for x
    x = 34,070,287,602.08/211,963.14
  6. Step 6: Final answer
    x = 160,736.85

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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.