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Finding the Fourth Proportional to 149,392.50, 224,154.94 and 78,298.22

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Solution

The fourth proportional to 149,392.50, 224,154.94 and 78,298.22 is: 117,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,392.50 : 224,154.94 = 78,298.22 : x
  2. Step 2: Convert to fraction form
    149,392.50/224,154.94 = 78,298.22/x
  3. Step 3: Cross multiply
    149,392.50x = 224,154.94 × 78,298.22
  4. Step 4: Simplify right side
    149,392.50x = 17,550,932,806.21
  5. Step 5: Solve for x
    x = 17,550,932,806.21/149,392.50
  6. Step 6: Final answer
    x = 117,482.02

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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.