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Finding the Fourth Proportional to 390,101.63, 585,321.46 and 137,562.50

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Solution

The fourth proportional to 390,101.63, 585,321.46 and 137,562.50 is: 206,403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,101.63 : 585,321.46 = 137,562.50 : x
  2. Step 2: Convert to fraction form
    390,101.63/585,321.46 = 137,562.50/x
  3. Step 3: Cross multiply
    390,101.63x = 585,321.46 × 137,562.50
  4. Step 4: Simplify right side
    390,101.63x = 80,518,284,460.65
  5. Step 5: Solve for x
    x = 80,518,284,460.65/390,101.63
  6. Step 6: Final answer
    x = 206,403.36

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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.