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Finding the Fourth Proportional to 256,823.40, 385,235.10 and 130,852.20

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Solution

The fourth proportional to 256,823.40, 385,235.10 and 130,852.20 is: 196,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,823.40 : 385,235.10 = 130,852.20 : x
  2. Step 2: Convert to fraction form
    256,823.40/385,235.10 = 130,852.20/x
  3. Step 3: Cross multiply
    256,823.40x = 385,235.10 × 130,852.20
  4. Step 4: Simplify right side
    256,823.40x = 50,408,860,352.22
  5. Step 5: Solve for x
    x = 50,408,860,352.22/256,823.40
  6. Step 6: Final answer
    x = 196,278.30

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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.