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Finding the Fourth Proportional to 99,218.94, 148,829.22 and 29,099.40

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Solution

The fourth proportional to 99,218.94, 148,829.22 and 29,099.40 is: 43,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,218.94 : 148,829.22 = 29,099.40 : x
  2. Step 2: Convert to fraction form
    99,218.94/148,829.22 = 29,099.40/x
  3. Step 3: Cross multiply
    99,218.94x = 148,829.22 × 29,099.40
  4. Step 4: Simplify right side
    99,218.94x = 4,330,841,004.47
  5. Step 5: Solve for x
    x = 4,330,841,004.47/99,218.94
  6. Step 6: Final answer
    x = 43,649.34

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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.