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Finding the Fourth Proportional to 272,804.30, 409,206.45 and 85,873.10

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Solution

The fourth proportional to 272,804.30, 409,206.45 and 85,873.10 is: 128,809.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,804.30 : 409,206.45 = 85,873.10 : x
  2. Step 2: Convert to fraction form
    272,804.30/409,206.45 = 85,873.10/x
  3. Step 3: Cross multiply
    272,804.30x = 409,206.45 × 85,873.10
  4. Step 4: Simplify right side
    272,804.30x = 35,139,826,401.50
  5. Step 5: Solve for x
    x = 35,139,826,401.50/272,804.30
  6. Step 6: Final answer
    x = 128,809.65

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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.