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Finding the Fourth Proportional to 97,730.70, 146,596.05 and 91,898.70

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Solution

The fourth proportional to 97,730.70, 146,596.05 and 91,898.70 is: 137,848.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,730.70 : 146,596.05 = 91,898.70 : x
  2. Step 2: Convert to fraction form
    97,730.70/146,596.05 = 91,898.70/x
  3. Step 3: Cross multiply
    97,730.70x = 146,596.05 × 91,898.70
  4. Step 4: Simplify right side
    97,730.70x = 13,471,986,420.14
  5. Step 5: Solve for x
    x = 13,471,986,420.14/97,730.70
  6. Step 6: Final answer
    x = 137,848.05

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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.