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Finding the Fourth Proportional to 211,942.94, 292,477.65 and 116,449.52

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Solution

The fourth proportional to 211,942.94, 292,477.65 and 116,449.52 is: 160,698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,942.94 : 292,477.65 = 116,449.52 : x
  2. Step 2: Convert to fraction form
    211,942.94/292,477.65 = 116,449.52/x
  3. Step 3: Cross multiply
    211,942.94x = 292,477.65 × 116,449.52
  4. Step 4: Simplify right side
    211,942.94x = 34,058,881,953.23
  5. Step 5: Solve for x
    x = 34,058,881,953.23/211,942.94
  6. Step 6: Final answer
    x = 160,698.36

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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.