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Finding the Fourth Proportional to 186,782.42, 257,762.63 and 101,899.49

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Solution

The fourth proportional to 186,782.42, 257,762.63 and 101,899.49 is: 140,622.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,782.42 : 257,762.63 = 101,899.49 : x
  2. Step 2: Convert to fraction form
    186,782.42/257,762.63 = 101,899.49/x
  3. Step 3: Cross multiply
    186,782.42x = 257,762.63 × 101,899.49
  4. Step 4: Simplify right side
    186,782.42x = 26,265,879,503.99
  5. Step 5: Solve for x
    x = 26,265,879,503.99/186,782.42
  6. Step 6: Final answer
    x = 140,622.87

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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.