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Finding the Fourth Proportional to 106,054.58, 146,351.58 and 58,307.56

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Solution

The fourth proportional to 106,054.58, 146,351.58 and 58,307.56 is: 80,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,054.58 : 146,351.58 = 58,307.56 : x
  2. Step 2: Convert to fraction form
    106,054.58/146,351.58 = 58,307.56/x
  3. Step 3: Cross multiply
    106,054.58x = 146,351.58 × 58,307.56
  4. Step 4: Simplify right side
    106,054.58x = 8,533,404,262.61
  5. Step 5: Solve for x
    x = 8,533,404,262.61/106,054.58
  6. Step 6: Final answer
    x = 80,462.38

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1.5x scale

Why These Related Problems?

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