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Finding the Fourth Proportional to 99,801.60, 149,702.40 and 97,833.30

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Solution

The fourth proportional to 99,801.60, 149,702.40 and 97,833.30 is: 146,749.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,801.60 : 149,702.40 = 97,833.30 : x
  2. Step 2: Convert to fraction form
    99,801.60/149,702.40 = 97,833.30/x
  3. Step 3: Cross multiply
    99,801.60x = 149,702.40 × 97,833.30
  4. Step 4: Simplify right side
    99,801.60x = 14,645,879,809.92
  5. Step 5: Solve for x
    x = 14,645,879,809.92/99,801.60
  6. Step 6: Final answer
    x = 146,749.95

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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.