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Finding the Fourth Proportional to 186,897.60, 257,918.70 and 102,014.67

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Solution

The fourth proportional to 186,897.60, 257,918.70 and 102,014.67 is: 140,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,897.60 : 257,918.70 = 102,014.67 : x
  2. Step 2: Convert to fraction form
    186,897.60/257,918.70 = 102,014.67/x
  3. Step 3: Cross multiply
    186,897.60x = 257,918.70 × 102,014.67
  4. Step 4: Simplify right side
    186,897.60x = 26,311,491,067.33
  5. Step 5: Solve for x
    x = 26,311,491,067.33/186,897.60
  6. Step 6: Final answer
    x = 140,780.25

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1.5x scale

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.