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Finding the Fourth Proportional to 224,130.76, 309,296.40 and 122,157.16

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Solution

The fourth proportional to 224,130.76, 309,296.40 and 122,157.16 is: 168,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,130.76 : 309,296.40 = 122,157.16 : x
  2. Step 2: Convert to fraction form
    224,130.76/309,296.40 = 122,157.16/x
  3. Step 3: Cross multiply
    224,130.76x = 309,296.40 × 122,157.16
  4. Step 4: Simplify right side
    224,130.76x = 37,782,769,822.22
  5. Step 5: Solve for x
    x = 37,782,769,822.22/224,130.76
  6. Step 6: Final answer
    x = 168,574.67

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