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Finding the Fourth Proportional to 186,658.87, 279,989.42 and 46,417.49

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Solution

The fourth proportional to 186,658.87, 279,989.42 and 46,417.49 is: 69,626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,658.87 : 279,989.42 = 46,417.49 : x
  2. Step 2: Convert to fraction form
    186,658.87/279,989.42 = 46,417.49/x
  3. Step 3: Cross multiply
    186,658.87x = 279,989.42 × 46,417.49
  4. Step 4: Simplify right side
    186,658.87x = 12,996,406,102.96
  5. Step 5: Solve for x
    x = 12,996,406,102.96/186,658.87
  6. Step 6: Final answer
    x = 69,626.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.