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Finding the Fourth Proportional to 98,851.34, 148,246.35 and 35,663.25

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Solution

The fourth proportional to 98,851.34, 148,246.35 and 35,663.25 is: 53,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,851.34 : 148,246.35 = 35,663.25 : x
  2. Step 2: Convert to fraction form
    98,851.34/148,246.35 = 35,663.25/x
  3. Step 3: Cross multiply
    98,851.34x = 148,246.35 × 35,663.25
  4. Step 4: Simplify right side
    98,851.34x = 5,286,946,223.54
  5. Step 5: Solve for x
    x = 5,286,946,223.54/98,851.34
  6. Step 6: Final answer
    x = 53,483.81

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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.