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Finding the Fourth Proportional to 365,085.31, 547,586.44 and 98,866.58

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Solution

The fourth proportional to 365,085.31, 547,586.44 and 98,866.58 is: 148,288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,085.31 : 547,586.44 = 98,866.58 : x
  2. Step 2: Convert to fraction form
    365,085.31/547,586.44 = 98,866.58/x
  3. Step 3: Cross multiply
    365,085.31x = 547,586.44 × 98,866.58
  4. Step 4: Simplify right side
    365,085.31x = 54,137,999,509.12
  5. Step 5: Solve for x
    x = 54,137,999,509.12/365,085.31
  6. Step 6: Final answer
    x = 148,288.63

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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.