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Finding the Fourth Proportional to 140,214, 210,321.45 and 35,032.98

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Solution

The fourth proportional to 140,214, 210,321.45 and 35,032.98 is: 52,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,214 : 210,321.45 = 35,032.98 : x
  2. Step 2: Convert to fraction form
    140,214/210,321.45 = 35,032.98/x
  3. Step 3: Cross multiply
    140,214x = 210,321.45 × 35,032.98
  4. Step 4: Simplify right side
    140,214x = 7,368,187,151.42
  5. Step 5: Solve for x
    x = 7,368,187,151.42/140,214
  6. Step 6: Final answer
    x = 52,549.58

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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.