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Finding the Fourth Proportional to 183,210, 274,854.20 and 56,847.48

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Solution

The fourth proportional to 183,210, 274,854.20 and 56,847.48 is: 85,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,210 : 274,854.20 = 56,847.48 : x
  2. Step 2: Convert to fraction form
    183,210/274,854.20 = 56,847.48/x
  3. Step 3: Cross multiply
    183,210x = 274,854.20 × 56,847.48
  4. Step 4: Simplify right side
    183,210x = 15,624,768,637.42
  5. Step 5: Solve for x
    x = 15,624,768,637.42/183,210
  6. Step 6: Final answer
    x = 85,283.38

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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.