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Finding the Fourth Proportional to 98,857.13, 148,255.02 and 35,669.03

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Solution

The fourth proportional to 98,857.13, 148,255.02 and 35,669.03 is: 53,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,857.13 : 148,255.02 = 35,669.03 : x
  2. Step 2: Convert to fraction form
    98,857.13/148,255.02 = 35,669.03/x
  3. Step 3: Cross multiply
    98,857.13x = 148,255.02 × 35,669.03
  4. Step 4: Simplify right side
    98,857.13x = 5,288,112,014.76
  5. Step 5: Solve for x
    x = 5,288,112,014.76/98,857.13
  6. Step 6: Final answer
    x = 53,492.47

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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.