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Finding the Fourth Proportional to 186,636.37, 257,558.18 and 106,064.05

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Solution

The fourth proportional to 186,636.37, 257,558.18 and 106,064.05 is: 146,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,636.37 : 257,558.18 = 106,064.05 : x
  2. Step 2: Convert to fraction form
    186,636.37/257,558.18 = 106,064.05/x
  3. Step 3: Cross multiply
    186,636.37x = 257,558.18 × 106,064.05
  4. Step 4: Simplify right side
    186,636.37x = 27,317,663,681.43
  5. Step 5: Solve for x
    x = 27,317,663,681.43/186,636.37
  6. Step 6: Final answer
    x = 146,368.38

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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.