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Finding the Fourth Proportional to 314,935.67, 472,123.79 and 122,765.80

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Solution

The fourth proportional to 314,935.67, 472,123.79 and 122,765.80 is: 184,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,935.67 : 472,123.79 = 122,765.80 : x
  2. Step 2: Convert to fraction form
    314,935.67/472,123.79 = 122,765.80/x
  3. Step 3: Cross multiply
    314,935.67x = 472,123.79 × 122,765.80
  4. Step 4: Simplify right side
    314,935.67x = 57,960,655,657.70
  5. Step 5: Solve for x
    x = 57,960,655,657.70/314,935.67
  6. Step 6: Final answer
    x = 184,039.67

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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.