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Finding the Fourth Proportional to 164,431, 246,654.60 and 53,623

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Solution

The fourth proportional to 164,431, 246,654.60 and 53,623 is: 80,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,431 : 246,654.60 = 53,623 : x
  2. Step 2: Convert to fraction form
    164,431/246,654.60 = 53,623/x
  3. Step 3: Cross multiply
    164,431x = 246,654.60 × 53,623
  4. Step 4: Simplify right side
    164,431x = 13,226,359,615.80
  5. Step 5: Solve for x
    x = 13,226,359,615.80/164,431
  6. Step 6: Final answer
    x = 80,437.14

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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.