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Finding the Fourth Proportional to 213,020.16, 317,785.74 and 207,228.72

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Solution

The fourth proportional to 213,020.16, 317,785.74 and 207,228.72 is: 309,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,020.16 : 317,785.74 = 207,228.72 : x
  2. Step 2: Convert to fraction form
    213,020.16/317,785.74 = 207,228.72/x
  3. Step 3: Cross multiply
    213,020.16x = 317,785.74 × 207,228.72
  4. Step 4: Simplify right side
    213,020.16x = 65,854,332,134.45
  5. Step 5: Solve for x
    x = 65,854,332,134.45/213,020.16
  6. Step 6: Final answer
    x = 309,146.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.