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Finding the Fourth Proportional to 238,040, 357,060.16 and 90,296

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Solution

The fourth proportional to 238,040, 357,060.16 and 90,296 is: 135,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,040 : 357,060.16 = 90,296 : x
  2. Step 2: Convert to fraction form
    238,040/357,060.16 = 90,296/x
  3. Step 3: Cross multiply
    238,040x = 357,060.16 × 90,296
  4. Step 4: Simplify right side
    238,040x = 32,241,104,207.36
  5. Step 5: Solve for x
    x = 32,241,104,207.36/238,040
  6. Step 6: Final answer
    x = 135,444.06

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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.