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Finding the Fourth Proportional to 162,024, 243,144 and 62,266.56

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Solution

The fourth proportional to 162,024, 243,144 and 62,266.56 is: 93,441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,024 : 243,144 = 62,266.56 : x
  2. Step 2: Convert to fraction form
    162,024/243,144 = 62,266.56/x
  3. Step 3: Cross multiply
    162,024x = 243,144 × 62,266.56
  4. Step 4: Simplify right side
    162,024x = 15,139,740,464.64
  5. Step 5: Solve for x
    x = 15,139,740,464.64/162,024
  6. Step 6: Final answer
    x = 93,441.34

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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.