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Finding the Fourth Proportional to 100,298.94, 150,582.03 and 58,209.23

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Solution

The fourth proportional to 100,298.94, 150,582.03 and 58,209.23 is: 87,391.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,298.94 : 150,582.03 = 58,209.23 : x
  2. Step 2: Convert to fraction form
    100,298.94/150,582.03 = 58,209.23/x
  3. Step 3: Cross multiply
    100,298.94x = 150,582.03 × 58,209.23
  4. Step 4: Simplify right side
    100,298.94x = 8,765,264,018.14
  5. Step 5: Solve for x
    x = 8,765,264,018.14/100,298.94
  6. Step 6: Final answer
    x = 87,391.40

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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.