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Finding the Fourth Proportional to 278,457.34, 384,271.50 and 151,132.95

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Solution

The fourth proportional to 278,457.34, 384,271.50 and 151,132.95 is: 208,563.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,457.34 : 384,271.50 = 151,132.95 : x
  2. Step 2: Convert to fraction form
    278,457.34/384,271.50 = 151,132.95/x
  3. Step 3: Cross multiply
    278,457.34x = 384,271.50 × 151,132.95
  4. Step 4: Simplify right side
    278,457.34x = 58,076,085,395.93
  5. Step 5: Solve for x
    x = 58,076,085,395.93/278,457.34
  6. Step 6: Final answer
    x = 208,563.67

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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.