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Finding the Fourth Proportional to 256,692.14, 354,248.44 and 147,812.65

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Solution

The fourth proportional to 256,692.14, 354,248.44 and 147,812.65 is: 203,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,692.14 : 354,248.44 = 147,812.65 : x
  2. Step 2: Convert to fraction form
    256,692.14/354,248.44 = 147,812.65/x
  3. Step 3: Cross multiply
    256,692.14x = 354,248.44 × 147,812.65
  4. Step 4: Simplify right side
    256,692.14x = 52,362,399,419.61
  5. Step 5: Solve for x
    x = 52,362,399,419.61/256,692.14
  6. Step 6: Final answer
    x = 203,989.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.