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Finding the Fourth Proportional to 299,873.16, 449,802.59 and 97,469.01

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Solution

The fourth proportional to 299,873.16, 449,802.59 and 97,469.01 is: 146,201.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,873.16 : 449,802.59 = 97,469.01 : x
  2. Step 2: Convert to fraction form
    299,873.16/449,802.59 = 97,469.01/x
  3. Step 3: Cross multiply
    299,873.16x = 449,802.59 × 97,469.01
  4. Step 4: Simplify right side
    299,873.16x = 43,841,812,655.39
  5. Step 5: Solve for x
    x = 43,841,812,655.39/299,873.16
  6. Step 6: Final answer
    x = 146,201.19

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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.