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Finding the Fourth Proportional to 98,145.76, 147,262.34 and 35,801.68

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Solution

The fourth proportional to 98,145.76, 147,262.34 and 35,801.68 is: 53,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,145.76 : 147,262.34 = 35,801.68 : x
  2. Step 2: Convert to fraction form
    98,145.76/147,262.34 = 35,801.68/x
  3. Step 3: Cross multiply
    98,145.76x = 147,262.34 × 35,801.68
  4. Step 4: Simplify right side
    98,145.76x = 5,272,239,172.73
  5. Step 5: Solve for x
    x = 5,272,239,172.73/98,145.76
  6. Step 6: Final answer
    x = 53,718.46

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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.