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Finding the Fourth Proportional to 273,004.84, 409,492.32 and 83,465.11

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Solution

The fourth proportional to 273,004.84, 409,492.32 and 83,465.11 is: 125,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,004.84 : 409,492.32 = 83,465.11 : x
  2. Step 2: Convert to fraction form
    273,004.84/409,492.32 = 83,465.11/x
  3. Step 3: Cross multiply
    273,004.84x = 409,492.32 × 83,465.11
  4. Step 4: Simplify right side
    273,004.84x = 34,178,321,532.96
  5. Step 5: Solve for x
    x = 34,178,321,532.96/273,004.84
  6. Step 6: Final answer
    x = 125,193.10

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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.