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Finding the Fourth Proportional to 106,054.26, 146,351.12 and 58,307.24

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Solution

The fourth proportional to 106,054.26, 146,351.12 and 58,307.24 is: 80,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,054.26 : 146,351.12 = 58,307.24 : x
  2. Step 2: Convert to fraction form
    106,054.26/146,351.12 = 58,307.24/x
  3. Step 3: Cross multiply
    106,054.26x = 146,351.12 × 58,307.24
  4. Step 4: Simplify right side
    106,054.26x = 8,533,328,854.82
  5. Step 5: Solve for x
    x = 8,533,328,854.82/106,054.26
  6. Step 6: Final answer
    x = 80,461.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.