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Finding the Fourth Proportional to 97,898.74, 146,698.58 and 72,817.50

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Solution

The fourth proportional to 97,898.74, 146,698.58 and 72,817.50 is: 109,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,898.74 : 146,698.58 = 72,817.50 : x
  2. Step 2: Convert to fraction form
    97,898.74/146,698.58 = 72,817.50/x
  3. Step 3: Cross multiply
    97,898.74x = 146,698.58 × 72,817.50
  4. Step 4: Simplify right side
    97,898.74x = 10,682,223,849.15
  5. Step 5: Solve for x
    x = 10,682,223,849.15/97,898.74
  6. Step 6: Final answer
    x = 109,115.03

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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.