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Finding the Fourth Proportional to 158,693.40, 238,040.10 and 152,132.40

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Solution

The fourth proportional to 158,693.40, 238,040.10 and 152,132.40 is: 228,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,693.40 : 238,040.10 = 152,132.40 : x
  2. Step 2: Convert to fraction form
    158,693.40/238,040.10 = 152,132.40/x
  3. Step 3: Cross multiply
    158,693.40x = 238,040.10 × 152,132.40
  4. Step 4: Simplify right side
    158,693.40x = 36,213,611,709.24
  5. Step 5: Solve for x
    x = 36,213,611,709.24/158,693.40
  6. Step 6: Final answer
    x = 228,198.60

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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.