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Finding the Fourth Proportional to 312,179, 468,078.88 and 122,412.02

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Solution

The fourth proportional to 312,179, 468,078.88 and 122,412.02 is: 183,543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,179 : 468,078.88 = 122,412.02 : x
  2. Step 2: Convert to fraction form
    312,179/468,078.88 = 122,412.02/x
  3. Step 3: Cross multiply
    312,179x = 468,078.88 × 122,412.02
  4. Step 4: Simplify right side
    312,179x = 57,298,478,879.74
  5. Step 5: Solve for x
    x = 57,298,478,879.74/312,179
  6. Step 6: Final answer
    x = 183,543.67

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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.