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Finding the Fourth Proportional to 147,225.28, 220,838.16 and 53,709.28

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Solution

The fourth proportional to 147,225.28, 220,838.16 and 53,709.28 is: 80,564.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,225.28 : 220,838.16 = 53,709.28 : x
  2. Step 2: Convert to fraction form
    147,225.28/220,838.16 = 53,709.28/x
  3. Step 3: Cross multiply
    147,225.28x = 220,838.16 × 53,709.28
  4. Step 4: Simplify right side
    147,225.28x = 11,861,058,570.12
  5. Step 5: Solve for x
    x = 11,861,058,570.12/147,225.28
  6. Step 6: Final answer
    x = 80,564.01

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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.