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Finding the Fourth Proportional to 186,981.63, 258,034.64 and 102,098.76

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Solution

The fourth proportional to 186,981.63, 258,034.64 and 102,098.76 is: 140,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,981.63 : 258,034.64 = 102,098.76 : x
  2. Step 2: Convert to fraction form
    186,981.63/258,034.64 = 102,098.76/x
  3. Step 3: Cross multiply
    186,981.63x = 258,034.64 × 102,098.76
  4. Step 4: Simplify right side
    186,981.63x = 26,345,016,270.55
  5. Step 5: Solve for x
    x = 26,345,016,270.55/186,981.63
  6. Step 6: Final answer
    x = 140,896.28

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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.