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Finding the Fourth Proportional to 140,865.72, 211,254 and 46,074

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Solution

The fourth proportional to 140,865.72, 211,254 and 46,074 is: 69,096.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,865.72 : 211,254 = 46,074 : x
  2. Step 2: Convert to fraction form
    140,865.72/211,254 = 46,074/x
  3. Step 3: Cross multiply
    140,865.72x = 211,254 × 46,074
  4. Step 4: Simplify right side
    140,865.72x = 9,733,316,796
  5. Step 5: Solve for x
    x = 9,733,316,796/140,865.72
  6. Step 6: Final answer
    x = 69,096.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.