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Finding the Fourth Proportional to 256,740.84, 385,202.50 and 114,573.17

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Solution

The fourth proportional to 256,740.84, 385,202.50 and 114,573.17 is: 171,900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,740.84 : 385,202.50 = 114,573.17 : x
  2. Step 2: Convert to fraction form
    256,740.84/385,202.50 = 114,573.17/x
  3. Step 3: Cross multiply
    256,740.84x = 385,202.50 × 114,573.17
  4. Step 4: Simplify right side
    256,740.84x = 44,133,872,193.50
  5. Step 5: Solve for x
    x = 44,133,872,193.50/256,740.84
  6. Step 6: Final answer
    x = 171,900.47

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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.