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Finding the Fourth Proportional to 162,026, 243,147 and 62,268.56

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Solution

The fourth proportional to 162,026, 243,147 and 62,268.56 is: 93,444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,026 : 243,147 = 62,268.56 : x
  2. Step 2: Convert to fraction form
    162,026/243,147 = 62,268.56/x
  3. Step 3: Cross multiply
    162,026x = 243,147 × 62,268.56
  4. Step 4: Simplify right side
    162,026x = 15,140,413,558.32
  5. Step 5: Solve for x
    x = 15,140,413,558.32/162,026
  6. Step 6: Final answer
    x = 93,444.35

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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.