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Finding the Fourth Proportional to 199,152, 298,728.54 and 51,408

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Solution

The fourth proportional to 199,152, 298,728.54 and 51,408 is: 77,112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,152 : 298,728.54 = 51,408 : x
  2. Step 2: Convert to fraction form
    199,152/298,728.54 = 51,408/x
  3. Step 3: Cross multiply
    199,152x = 298,728.54 × 51,408
  4. Step 4: Simplify right side
    199,152x = 15,357,036,784.32
  5. Step 5: Solve for x
    x = 15,357,036,784.32/199,152
  6. Step 6: Final answer
    x = 77,112.14

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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.