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Finding the Fourth Proportional to 102,754.41, 154,130.89 and 52,848.42

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Solution

The fourth proportional to 102,754.41, 154,130.89 and 52,848.42 is: 79,272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,754.41 : 154,130.89 = 52,848.42 : x
  2. Step 2: Convert to fraction form
    102,754.41/154,130.89 = 52,848.42/x
  3. Step 3: Cross multiply
    102,754.41x = 154,130.89 × 52,848.42
  4. Step 4: Simplify right side
    102,754.41x = 8,145,574,009.69
  5. Step 5: Solve for x
    x = 8,145,574,009.69/102,754.41
  6. Step 6: Final answer
    x = 79,272.26

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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.