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Finding the Fourth Proportional to 186,588.64, 279,881.92 and 46,347.20

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Solution

The fourth proportional to 186,588.64, 279,881.92 and 46,347.20 is: 69,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,588.64 : 279,881.92 = 46,347.20 : x
  2. Step 2: Convert to fraction form
    186,588.64/279,881.92 = 46,347.20/x
  3. Step 3: Cross multiply
    186,588.64x = 279,881.92 × 46,347.20
  4. Step 4: Simplify right side
    186,588.64x = 12,971,743,322.62
  5. Step 5: Solve for x
    x = 12,971,743,322.62/186,588.64
  6. Step 6: Final answer
    x = 69,520.54

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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.