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Finding the Fourth Proportional to 256,852.19, 385,280.88 and 114,704.70

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Solution

The fourth proportional to 256,852.19, 385,280.88 and 114,704.70 is: 172,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,852.19 : 385,280.88 = 114,704.70 : x
  2. Step 2: Convert to fraction form
    256,852.19/385,280.88 = 114,704.70/x
  3. Step 3: Cross multiply
    256,852.19x = 385,280.88 × 114,704.70
  4. Step 4: Simplify right side
    256,852.19x = 44,193,527,756.14
  5. Step 5: Solve for x
    x = 44,193,527,756.14/256,852.19
  6. Step 6: Final answer
    x = 172,058.21

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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.