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Finding the Fourth Proportional to 97,483.64, 146,216.99 and 69,142.42

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Solution

The fourth proportional to 97,483.64, 146,216.99 and 69,142.42 is: 103,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,483.64 : 146,216.99 = 69,142.42 : x
  2. Step 2: Convert to fraction form
    97,483.64/146,216.99 = 69,142.42/x
  3. Step 3: Cross multiply
    97,483.64x = 146,216.99 × 69,142.42
  4. Step 4: Simplify right side
    97,483.64x = 10,109,796,533.72
  5. Step 5: Solve for x
    x = 10,109,796,533.72/97,483.64
  6. Step 6: Final answer
    x = 103,707.63

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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.