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Finding the Fourth Proportional to 133,038.40, 199,849.20 and 98,201.92

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Solution

The fourth proportional to 133,038.40, 199,849.20 and 98,201.92 is: 147,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,038.40 : 199,849.20 = 98,201.92 : x
  2. Step 2: Convert to fraction form
    133,038.40/199,849.20 = 98,201.92/x
  3. Step 3: Cross multiply
    133,038.40x = 199,849.20 × 98,201.92
  4. Step 4: Simplify right side
    133,038.40x = 19,625,575,150.46
  5. Step 5: Solve for x
    x = 19,625,575,150.46/133,038.40
  6. Step 6: Final answer
    x = 147,518.12

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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.