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Finding the Fourth Proportional to 149,813.34, 224,737.29 and 49,986.78

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Solution

The fourth proportional to 149,813.34, 224,737.29 and 49,986.78 is: 74,985.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,813.34 : 224,737.29 = 49,986.78 : x
  2. Step 2: Convert to fraction form
    149,813.34/224,737.29 = 49,986.78/x
  3. Step 3: Cross multiply
    149,813.34x = 224,737.29 × 49,986.78
  4. Step 4: Simplify right side
    149,813.34x = 11,233,893,473.03
  5. Step 5: Solve for x
    x = 11,233,893,473.03/149,813.34
  6. Step 6: Final answer
    x = 74,985.94

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1.5x scale

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.