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Finding the Fourth Proportional to 186,889.61, 257,907.57 and 102,006.66

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Solution

The fourth proportional to 186,889.61, 257,907.57 and 102,006.66 is: 140,769.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,889.61 : 257,907.57 = 102,006.66 : x
  2. Step 2: Convert to fraction form
    186,889.61/257,907.57 = 102,006.66/x
  3. Step 3: Cross multiply
    186,889.61x = 257,907.57 × 102,006.66
  4. Step 4: Simplify right side
    186,889.61x = 26,308,289,804.42
  5. Step 5: Solve for x
    x = 26,308,289,804.42/186,889.61
  6. Step 6: Final answer
    x = 140,769.14

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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.