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Finding the Fourth Proportional to 146,307.94, 219,461.94 and 41,126.94

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Solution

The fourth proportional to 146,307.94, 219,461.94 and 41,126.94 is: 61,690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,307.94 : 219,461.94 = 41,126.94 : x
  2. Step 2: Convert to fraction form
    146,307.94/219,461.94 = 41,126.94/x
  3. Step 3: Cross multiply
    146,307.94x = 219,461.94 × 41,126.94
  4. Step 4: Simplify right side
    146,307.94x = 9,025,798,038.66
  5. Step 5: Solve for x
    x = 9,025,798,038.66/146,307.94
  6. Step 6: Final answer
    x = 61,690.42

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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.