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Finding the Fourth Proportional to 153,489.94, 230,223.67 and 48,338.98

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Solution

The fourth proportional to 153,489.94, 230,223.67 and 48,338.98 is: 72,504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,489.94 : 230,223.67 = 48,338.98 : x
  2. Step 2: Convert to fraction form
    153,489.94/230,223.67 = 48,338.98/x
  3. Step 3: Cross multiply
    153,489.94x = 230,223.67 × 48,338.98
  4. Step 4: Simplify right side
    153,489.94x = 11,128,775,986.84
  5. Step 5: Solve for x
    x = 11,128,775,986.84/153,489.94
  6. Step 6: Final answer
    x = 72,504.92

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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.