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Finding the Fourth Proportional to 289,922.40, 434,959.20 and 112,435.20

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Solution

The fourth proportional to 289,922.40, 434,959.20 and 112,435.20 is: 168,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,922.40 : 434,959.20 = 112,435.20 : x
  2. Step 2: Convert to fraction form
    289,922.40/434,959.20 = 112,435.20/x
  3. Step 3: Cross multiply
    289,922.40x = 434,959.20 × 112,435.20
  4. Step 4: Simplify right side
    289,922.40x = 48,904,724,643.84
  5. Step 5: Solve for x
    x = 48,904,724,643.84/289,922.40
  6. Step 6: Final answer
    x = 168,682.12

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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.