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Finding the Fourth Proportional to 211,762.85, 292,233.24 and 116,275.70

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Solution

The fourth proportional to 211,762.85, 292,233.24 and 116,275.70 is: 160,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,762.85 : 292,233.24 = 116,275.70 : x
  2. Step 2: Convert to fraction form
    211,762.85/292,233.24 = 116,275.70/x
  3. Step 3: Cross multiply
    211,762.85x = 292,233.24 × 116,275.70
  4. Step 4: Simplify right side
    211,762.85x = 33,979,625,274.85
  5. Step 5: Solve for x
    x = 33,979,625,274.85/211,762.85
  6. Step 6: Final answer
    x = 160,460.75

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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.