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Finding the Fourth Proportional to 147,203.76, 220,809.28 and 53,709.50

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Solution

The fourth proportional to 147,203.76, 220,809.28 and 53,709.50 is: 80,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,203.76 : 220,809.28 = 53,709.50 : x
  2. Step 2: Convert to fraction form
    147,203.76/220,809.28 = 53,709.50/x
  3. Step 3: Cross multiply
    147,203.76x = 220,809.28 × 53,709.50
  4. Step 4: Simplify right side
    147,203.76x = 11,859,556,024.16
  5. Step 5: Solve for x
    x = 11,859,556,024.16/147,203.76
  6. Step 6: Final answer
    x = 80,565.58

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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.