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Finding the Fourth Proportional to 191,683.70, 264,525.24 and 105,645.75

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Solution

The fourth proportional to 191,683.70, 264,525.24 and 105,645.75 is: 145,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,683.70 : 264,525.24 = 105,645.75 : x
  2. Step 2: Convert to fraction form
    191,683.70/264,525.24 = 105,645.75/x
  3. Step 3: Cross multiply
    191,683.70x = 264,525.24 × 105,645.75
  4. Step 4: Simplify right side
    191,683.70x = 27,945,968,265.89
  5. Step 5: Solve for x
    x = 27,945,968,265.89/191,683.70
  6. Step 6: Final answer
    x = 145,792.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.