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Finding the Fourth Proportional to 301,293.83, 451,622.99 and 98,837.06

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Solution

The fourth proportional to 301,293.83, 451,622.99 and 98,837.06 is: 148,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,293.83 : 451,622.99 = 98,837.06 : x
  2. Step 2: Convert to fraction form
    301,293.83/451,622.99 = 98,837.06/x
  3. Step 3: Cross multiply
    301,293.83x = 451,622.99 × 98,837.06
  4. Step 4: Simplify right side
    301,293.83x = 44,637,089,936.16
  5. Step 5: Solve for x
    x = 44,637,089,936.16/301,293.83
  6. Step 6: Final answer
    x = 148,151.36

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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.