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Finding the Fourth Proportional to 314,130.87, 471,194.14 and 127,139.67

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Solution

The fourth proportional to 314,130.87, 471,194.14 and 127,139.67 is: 190,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,130.87 : 471,194.14 = 127,139.67 : x
  2. Step 2: Convert to fraction form
    314,130.87/471,194.14 = 127,139.67/x
  3. Step 3: Cross multiply
    314,130.87x = 471,194.14 × 127,139.67
  4. Step 4: Simplify right side
    314,130.87x = 59,907,467,465.53
  5. Step 5: Solve for x
    x = 59,907,467,465.53/314,130.87
  6. Step 6: Final answer
    x = 190,708.63

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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.