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Finding the Fourth Proportional to 211,952.32, 292,494.14 and 116,465.20

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Solution

The fourth proportional to 211,952.32, 292,494.14 and 116,465.20 is: 160,721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,952.32 : 292,494.14 = 116,465.20 : x
  2. Step 2: Convert to fraction form
    211,952.32/292,494.14 = 116,465.20/x
  3. Step 3: Cross multiply
    211,952.32x = 292,494.14 × 116,465.20
  4. Step 4: Simplify right side
    211,952.32x = 34,065,388,513.93
  5. Step 5: Solve for x
    x = 34,065,388,513.93/211,952.32
  6. Step 6: Final answer
    x = 160,721.94

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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.