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Finding the Fourth Proportional to 305,749.30, 458,602.35 and 106,021.30

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Solution

The fourth proportional to 305,749.30, 458,602.35 and 106,021.30 is: 159,024.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,749.30 : 458,602.35 = 106,021.30 : x
  2. Step 2: Convert to fraction form
    305,749.30/458,602.35 = 106,021.30/x
  3. Step 3: Cross multiply
    305,749.30x = 458,602.35 × 106,021.30
  4. Step 4: Simplify right side
    305,749.30x = 48,621,617,330.06
  5. Step 5: Solve for x
    x = 48,621,617,330.06/305,749.30
  6. Step 6: Final answer
    x = 159,024.46

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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.