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Finding the Fourth Proportional to 401,616.72, 602,040.92 and 148,829.31

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Solution

The fourth proportional to 401,616.72, 602,040.92 and 148,829.31 is: 223,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,616.72 : 602,040.92 = 148,829.31 : x
  2. Step 2: Convert to fraction form
    401,616.72/602,040.92 = 148,829.31/x
  3. Step 3: Cross multiply
    401,616.72x = 602,040.92 × 148,829.31
  4. Step 4: Simplify right side
    401,616.72x = 89,601,333,971.22
  5. Step 5: Solve for x
    x = 89,601,333,971.22/401,616.72
  6. Step 6: Final answer
    x = 223,101.60

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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.