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Finding the Fourth Proportional to 186,672.80, 280,008.66 and 46,431.42

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Solution

The fourth proportional to 186,672.80, 280,008.66 and 46,431.42 is: 69,647.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,672.80 : 280,008.66 = 46,431.42 : x
  2. Step 2: Convert to fraction form
    186,672.80/280,008.66 = 46,431.42/x
  3. Step 3: Cross multiply
    186,672.80x = 280,008.66 × 46,431.42
  4. Step 4: Simplify right side
    186,672.80x = 13,001,199,696.10
  5. Step 5: Solve for x
    x = 13,001,199,696.10/186,672.80
  6. Step 6: Final answer
    x = 69,647.00

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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.