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Finding the Fourth Proportional to 192,307.04, 288,408.72 and 87,020

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Solution

The fourth proportional to 192,307.04, 288,408.72 and 87,020 is: 130,506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,307.04 : 288,408.72 = 87,020 : x
  2. Step 2: Convert to fraction form
    192,307.04/288,408.72 = 87,020/x
  3. Step 3: Cross multiply
    192,307.04x = 288,408.72 × 87,020
  4. Step 4: Simplify right side
    192,307.04x = 25,097,326,814.40
  5. Step 5: Solve for x
    x = 25,097,326,814.40/192,307.04
  6. Step 6: Final answer
    x = 130,506.54

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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.