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Finding the Fourth Proportional to 98,872.20, 148,308.30 and 97,835.40

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Solution

The fourth proportional to 98,872.20, 148,308.30 and 97,835.40 is: 146,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,872.20 : 148,308.30 = 97,835.40 : x
  2. Step 2: Convert to fraction form
    98,872.20/148,308.30 = 97,835.40/x
  3. Step 3: Cross multiply
    98,872.20x = 148,308.30 × 97,835.40
  4. Step 4: Simplify right side
    98,872.20x = 14,509,801,853.82
  5. Step 5: Solve for x
    x = 14,509,801,853.82/98,872.20
  6. Step 6: Final answer
    x = 146,753.10

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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.