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Finding the Fourth Proportional to 186,293, 257,084.37 and 101,410.70

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Solution

The fourth proportional to 186,293, 257,084.37 and 101,410.70 is: 139,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,293 : 257,084.37 = 101,410.70 : x
  2. Step 2: Convert to fraction form
    186,293/257,084.37 = 101,410.70/x
  3. Step 3: Cross multiply
    186,293x = 257,084.37 × 101,410.70
  4. Step 4: Simplify right side
    186,293x = 26,071,105,920.76
  5. Step 5: Solve for x
    x = 26,071,105,920.76/186,293
  6. Step 6: Final answer
    x = 139,946.78

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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.