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Finding the Fourth Proportional to 186,699.19, 280,049.80 and 46,457.82

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Solution

The fourth proportional to 186,699.19, 280,049.80 and 46,457.82 is: 69,686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,699.19 : 280,049.80 = 46,457.82 : x
  2. Step 2: Convert to fraction form
    186,699.19/280,049.80 = 46,457.82/x
  3. Step 3: Cross multiply
    186,699.19x = 280,049.80 × 46,457.82
  4. Step 4: Simplify right side
    186,699.19x = 13,010,503,199.44
  5. Step 5: Solve for x
    x = 13,010,503,199.44/186,699.19
  6. Step 6: Final answer
    x = 69,686.98

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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.