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Finding the Fourth Proportional to 186,237.76, 257,007.36 and 101,354.80

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Solution

The fourth proportional to 186,237.76, 257,007.36 and 101,354.80 is: 139,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,237.76 : 257,007.36 = 101,354.80 : x
  2. Step 2: Convert to fraction form
    186,237.76/257,007.36 = 101,354.80/x
  3. Step 3: Cross multiply
    186,237.76x = 257,007.36 × 101,354.80
  4. Step 4: Simplify right side
    186,237.76x = 26,048,929,571.33
  5. Step 5: Solve for x
    x = 26,048,929,571.33/186,237.76
  6. Step 6: Final answer
    x = 139,869.22

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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.