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Finding the Fourth Proportional to 153,653.87, 230,588.54 and 63,697.97

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Solution

The fourth proportional to 153,653.87, 230,588.54 and 63,697.97 is: 95,591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,653.87 : 230,588.54 = 63,697.97 : x
  2. Step 2: Convert to fraction form
    153,653.87/230,588.54 = 63,697.97/x
  3. Step 3: Cross multiply
    153,653.87x = 230,588.54 × 63,697.97
  4. Step 4: Simplify right side
    153,653.87x = 14,688,021,903.26
  5. Step 5: Solve for x
    x = 14,688,021,903.26/153,653.87
  6. Step 6: Final answer
    x = 95,591.62

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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.