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Finding the Fourth Proportional to 140,468.58, 210,658.95 and 46,952.46

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Solution

The fourth proportional to 140,468.58, 210,658.95 and 46,952.46 is: 70,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,468.58 : 210,658.95 = 46,952.46 : x
  2. Step 2: Convert to fraction form
    140,468.58/210,658.95 = 46,952.46/x
  3. Step 3: Cross multiply
    140,468.58x = 210,658.95 × 46,952.46
  4. Step 4: Simplify right side
    140,468.58x = 9,890,955,923.52
  5. Step 5: Solve for x
    x = 9,890,955,923.52/140,468.58
  6. Step 6: Final answer
    x = 70,414.01

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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.