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Finding the Fourth Proportional to 149,686.40, 224,565.47 and 49,847.48

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Solution

The fourth proportional to 149,686.40, 224,565.47 and 49,847.48 is: 74,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,686.40 : 224,565.47 = 49,847.48 : x
  2. Step 2: Convert to fraction form
    149,686.40/224,565.47 = 49,847.48/x
  3. Step 3: Cross multiply
    149,686.40x = 224,565.47 × 49,847.48
  4. Step 4: Simplify right side
    149,686.40x = 11,194,021,402.45
  5. Step 5: Solve for x
    x = 11,194,021,402.45/149,686.40
  6. Step 6: Final answer
    x = 74,783.16

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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.