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Finding the Fourth Proportional to 186,657.62, 279,987.54 and 46,416.24

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Solution

The fourth proportional to 186,657.62, 279,987.54 and 46,416.24 is: 69,624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,657.62 : 279,987.54 = 46,416.24 : x
  2. Step 2: Convert to fraction form
    186,657.62/279,987.54 = 46,416.24/x
  3. Step 3: Cross multiply
    186,657.62x = 279,987.54 × 46,416.24
  4. Step 4: Simplify right side
    186,657.62x = 12,995,968,853.65
  5. Step 5: Solve for x
    x = 12,995,968,853.65/186,657.62
  6. Step 6: Final answer
    x = 69,624.64

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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.