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Finding the Fourth Proportional to 211,964.88, 292,518.72 and 116,475

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Solution

The fourth proportional to 211,964.88, 292,518.72 and 116,475 is: 160,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,964.88 : 292,518.72 = 116,475 : x
  2. Step 2: Convert to fraction form
    211,964.88/292,518.72 = 116,475/x
  3. Step 3: Cross multiply
    211,964.88x = 292,518.72 × 116,475
  4. Step 4: Simplify right side
    211,964.88x = 34,071,117,912.00
  5. Step 5: Solve for x
    x = 34,071,117,912.00/211,964.88
  6. Step 6: Final answer
    x = 160,739.45

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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.