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Finding the Fourth Proportional to 140,325.84, 210,420.54 and 46,800

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Solution

The fourth proportional to 140,325.84, 210,420.54 and 46,800 is: 70,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,325.84 : 210,420.54 = 46,800 : x
  2. Step 2: Convert to fraction form
    140,325.84/210,420.54 = 46,800/x
  3. Step 3: Cross multiply
    140,325.84x = 210,420.54 × 46,800
  4. Step 4: Simplify right side
    140,325.84x = 9,847,681,272
  5. Step 5: Solve for x
    x = 9,847,681,272/140,325.84
  6. Step 6: Final answer
    x = 70,177.25

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