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Finding the Fourth Proportional to 211,762.72, 292,233.06 and 116,275.58

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Solution

The fourth proportional to 211,762.72, 292,233.06 and 116,275.58 is: 160,460.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,762.72 : 292,233.06 = 116,275.58 : x
  2. Step 2: Convert to fraction form
    211,762.72/292,233.06 = 116,275.58/x
  3. Step 3: Cross multiply
    211,762.72x = 292,233.06 × 116,275.58
  4. Step 4: Simplify right side
    211,762.72x = 33,979,568,546.67
  5. Step 5: Solve for x
    x = 33,979,568,546.67/211,762.72
  6. Step 6: Final answer
    x = 160,460.58

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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.