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Finding the Fourth Proportional to 186,829, 257,824.02 and 119,761

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Solution

The fourth proportional to 186,829, 257,824.02 and 119,761 is: 165,270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,829 : 257,824.02 = 119,761 : x
  2. Step 2: Convert to fraction form
    186,829/257,824.02 = 119,761/x
  3. Step 3: Cross multiply
    186,829x = 257,824.02 × 119,761
  4. Step 4: Simplify right side
    186,829x = 30,877,262,459.22
  5. Step 5: Solve for x
    x = 30,877,262,459.22/186,829
  6. Step 6: Final answer
    x = 165,270.18

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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.