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Finding the Fourth Proportional to 100,762.16, 151,162.68 and 56,438.96

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Solution

The fourth proportional to 100,762.16, 151,162.68 and 56,438.96 is: 84,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,762.16 : 151,162.68 = 56,438.96 : x
  2. Step 2: Convert to fraction form
    100,762.16/151,162.68 = 56,438.96/x
  3. Step 3: Cross multiply
    100,762.16x = 151,162.68 × 56,438.96
  4. Step 4: Simplify right side
    100,762.16x = 8,531,464,450.01
  5. Step 5: Solve for x
    x = 8,531,464,450.01/100,762.16
  6. Step 6: Final answer
    x = 84,669.33

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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.