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Finding the Fourth Proportional to 98,201.53, 147,308.14 and 30,746.20

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Solution

The fourth proportional to 98,201.53, 147,308.14 and 30,746.20 is: 46,121.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,201.53 : 147,308.14 = 30,746.20 : x
  2. Step 2: Convert to fraction form
    98,201.53/147,308.14 = 30,746.20/x
  3. Step 3: Cross multiply
    98,201.53x = 147,308.14 × 30,746.20
  4. Step 4: Simplify right side
    98,201.53x = 4,529,165,088.93
  5. Step 5: Solve for x
    x = 4,529,165,088.93/98,201.53
  6. Step 6: Final answer
    x = 46,121.13

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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.