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Finding the Fourth Proportional to 97,898.40, 146,847.60 and 86,817.60

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Solution

The fourth proportional to 97,898.40, 146,847.60 and 86,817.60 is: 130,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,898.40 : 146,847.60 = 86,817.60 : x
  2. Step 2: Convert to fraction form
    97,898.40/146,847.60 = 86,817.60/x
  3. Step 3: Cross multiply
    97,898.40x = 146,847.60 × 86,817.60
  4. Step 4: Simplify right side
    97,898.40x = 12,748,956,197.76
  5. Step 5: Solve for x
    x = 12,748,956,197.76/97,898.40
  6. Step 6: Final answer
    x = 130,226.40

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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.