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Finding the Fourth Proportional to 186,762.65, 280,146.42 and 58,674.74

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Solution

The fourth proportional to 186,762.65, 280,146.42 and 58,674.74 is: 88,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,762.65 : 280,146.42 = 58,674.74 : x
  2. Step 2: Convert to fraction form
    186,762.65/280,146.42 = 58,674.74/x
  3. Step 3: Cross multiply
    186,762.65x = 280,146.42 × 58,674.74
  4. Step 4: Simplify right side
    186,762.65x = 16,437,516,954.70
  5. Step 5: Solve for x
    x = 16,437,516,954.70/186,762.65
  6. Step 6: Final answer
    x = 88,012.87

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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.