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Finding the Fourth Proportional to 99,308.98, 148,963.53 and 29,237.50

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Solution

The fourth proportional to 99,308.98, 148,963.53 and 29,237.50 is: 43,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,308.98 : 148,963.53 = 29,237.50 : x
  2. Step 2: Convert to fraction form
    99,308.98/148,963.53 = 29,237.50/x
  3. Step 3: Cross multiply
    99,308.98x = 148,963.53 × 29,237.50
  4. Step 4: Simplify right side
    99,308.98x = 4,355,321,208.38
  5. Step 5: Solve for x
    x = 4,355,321,208.38/99,308.98
  6. Step 6: Final answer
    x = 43,856.27

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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.