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Finding the Fourth Proportional to 305,059.08, 457,515.74 and 105,386.60

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Solution

The fourth proportional to 305,059.08, 457,515.74 and 105,386.60 is: 158,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,059.08 : 457,515.74 = 105,386.60 : x
  2. Step 2: Convert to fraction form
    305,059.08/457,515.74 = 105,386.60/x
  3. Step 3: Cross multiply
    305,059.08x = 457,515.74 × 105,386.60
  4. Step 4: Simplify right side
    305,059.08x = 48,216,028,285.08
  5. Step 5: Solve for x
    x = 48,216,028,285.08/305,059.08
  6. Step 6: Final answer
    x = 158,054.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.