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Finding the Fourth Proportional to 317,098.40, 475,647.60 and 130,013.60

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Solution

The fourth proportional to 317,098.40, 475,647.60 and 130,013.60 is: 195,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,098.40 : 475,647.60 = 130,013.60 : x
  2. Step 2: Convert to fraction form
    317,098.40/475,647.60 = 130,013.60/x
  3. Step 3: Cross multiply
    317,098.40x = 475,647.60 × 130,013.60
  4. Step 4: Simplify right side
    317,098.40x = 61,840,656,807.36
  5. Step 5: Solve for x
    x = 61,840,656,807.36/317,098.40
  6. Step 6: Final answer
    x = 195,020.40

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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.