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Finding the Fourth Proportional to 261,435.84, 392,154.24 and 111,550.08

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Solution

The fourth proportional to 261,435.84, 392,154.24 and 111,550.08 is: 167,325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,435.84 : 392,154.24 = 111,550.08 : x
  2. Step 2: Convert to fraction form
    261,435.84/392,154.24 = 111,550.08/x
  3. Step 3: Cross multiply
    261,435.84x = 392,154.24 × 111,550.08
  4. Step 4: Simplify right side
    261,435.84x = 43,744,836,844.34
  5. Step 5: Solve for x
    x = 43,744,836,844.34/261,435.84
  6. Step 6: Final answer
    x = 167,325.32

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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.