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Finding the Fourth Proportional to 186,641.08, 279,962.64 and 46,399.70

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Solution

The fourth proportional to 186,641.08, 279,962.64 and 46,399.70 is: 69,599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,641.08 : 279,962.64 = 46,399.70 : x
  2. Step 2: Convert to fraction form
    186,641.08/279,962.64 = 46,399.70/x
  3. Step 3: Cross multiply
    186,641.08x = 279,962.64 × 46,399.70
  4. Step 4: Simplify right side
    186,641.08x = 12,990,183,323.11
  5. Step 5: Solve for x
    x = 12,990,183,323.11/186,641.08
  6. Step 6: Final answer
    x = 69,599.81

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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.