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Finding the Fourth Proportional to 186,882, 257,897.40 and 119,814

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Solution

The fourth proportional to 186,882, 257,897.40 and 119,814 is: 165,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,882 : 257,897.40 = 119,814 : x
  2. Step 2: Convert to fraction form
    186,882/257,897.40 = 119,814/x
  3. Step 3: Cross multiply
    186,882x = 257,897.40 × 119,814
  4. Step 4: Simplify right side
    186,882x = 30,899,719,083.60
  5. Step 5: Solve for x
    x = 30,899,719,083.60/186,882
  6. Step 6: Final answer
    x = 165,343.47

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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.