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Finding the Fourth Proportional to 186,300, 257,094 and 101,412

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Solution

The fourth proportional to 186,300, 257,094 and 101,412 is: 139,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,300 : 257,094 = 101,412 : x
  2. Step 2: Convert to fraction form
    186,300/257,094 = 101,412/x
  3. Step 3: Cross multiply
    186,300x = 257,094 × 101,412
  4. Step 4: Simplify right side
    186,300x = 26,072,416,728
  5. Step 5: Solve for x
    x = 26,072,416,728/186,300
  6. Step 6: Final answer
    x = 139,948.56

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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.