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Finding the Fourth Proportional to 383,582.83, 575,373.42 and 103,100.08

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Solution

The fourth proportional to 383,582.83, 575,373.42 and 103,100.08 is: 154,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,582.83 : 575,373.42 = 103,100.08 : x
  2. Step 2: Convert to fraction form
    383,582.83/575,373.42 = 103,100.08/x
  3. Step 3: Cross multiply
    383,582.83x = 575,373.42 × 103,100.08
  4. Step 4: Simplify right side
    383,582.83x = 59,321,045,631.87
  5. Step 5: Solve for x
    x = 59,321,045,631.87/383,582.83
  6. Step 6: Final answer
    x = 154,649.90

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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.