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Finding the Fourth Proportional to 264,289.50, 396,492.57 and 98,077.50

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Solution

The fourth proportional to 264,289.50, 396,492.57 and 98,077.50 is: 147,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,289.50 : 396,492.57 = 98,077.50 : x
  2. Step 2: Convert to fraction form
    264,289.50/396,492.57 = 98,077.50/x
  3. Step 3: Cross multiply
    264,289.50x = 396,492.57 × 98,077.50
  4. Step 4: Simplify right side
    264,289.50x = 38,887,000,034.18
  5. Step 5: Solve for x
    x = 38,887,000,034.18/264,289.50
  6. Step 6: Final answer
    x = 147,137.89

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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.