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Finding the Fourth Proportional to 205,228.40, 307,259.40 and 184,233.20

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Solution

The fourth proportional to 205,228.40, 307,259.40 and 184,233.20 is: 275,826.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,228.40 : 307,259.40 = 184,233.20 : x
  2. Step 2: Convert to fraction form
    205,228.40/307,259.40 = 184,233.20/x
  3. Step 3: Cross multiply
    205,228.40x = 307,259.40 × 184,233.20
  4. Step 4: Simplify right side
    205,228.40x = 56,607,382,492.08
  5. Step 5: Solve for x
    x = 56,607,382,492.08/205,228.40
  6. Step 6: Final answer
    x = 275,826.26

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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.