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Finding the Fourth Proportional to 204,381.84, 308,492.34 and 204,381.84

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Solution

The fourth proportional to 204,381.84, 308,492.34 and 204,381.84 is: 308,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,381.84 : 308,492.34 = 204,381.84 : x
  2. Step 2: Convert to fraction form
    204,381.84/308,492.34 = 204,381.84/x
  3. Step 3: Cross multiply
    204,381.84x = 308,492.34 × 204,381.84
  4. Step 4: Simplify right side
    204,381.84x = 63,050,232,075.11
  5. Step 5: Solve for x
    x = 63,050,232,075.11/204,381.84
  6. Step 6: Final answer
    x = 308,492.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.