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Finding the Fourth Proportional to 152,438.36, 228,655.46 and 47,257.32

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Solution

The fourth proportional to 152,438.36, 228,655.46 and 47,257.32 is: 70,885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,438.36 : 228,655.46 = 47,257.32 : x
  2. Step 2: Convert to fraction form
    152,438.36/228,655.46 = 47,257.32/x
  3. Step 3: Cross multiply
    152,438.36x = 228,655.46 × 47,257.32
  4. Step 4: Simplify right side
    152,438.36x = 10,805,644,952.75
  5. Step 5: Solve for x
    x = 10,805,644,952.75/152,438.36
  6. Step 6: Final answer
    x = 70,885.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.