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Finding the Fourth Proportional to 186,701.16, 280,013.16 and 53,551.80

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Solution

The fourth proportional to 186,701.16, 280,013.16 and 53,551.80 is: 80,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,701.16 : 280,013.16 = 53,551.80 : x
  2. Step 2: Convert to fraction form
    186,701.16/280,013.16 = 53,551.80/x
  3. Step 3: Cross multiply
    186,701.16x = 280,013.16 × 53,551.80
  4. Step 4: Simplify right side
    186,701.16x = 14,995,208,741.69
  5. Step 5: Solve for x
    x = 14,995,208,741.69/186,701.16
  6. Step 6: Final answer
    x = 80,316.63

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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.