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Finding the Fourth Proportional to 211,803.12, 292,288.50 and 116,314.65

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Solution

The fourth proportional to 211,803.12, 292,288.50 and 116,314.65 is: 160,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,803.12 : 292,288.50 = 116,314.65 : x
  2. Step 2: Convert to fraction form
    211,803.12/292,288.50 = 116,314.65/x
  3. Step 3: Cross multiply
    211,803.12x = 292,288.50 × 116,314.65
  4. Step 4: Simplify right side
    211,803.12x = 33,997,434,576.53
  5. Step 5: Solve for x
    x = 33,997,434,576.53/211,803.12
  6. Step 6: Final answer
    x = 160,514.32

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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.