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Finding the Fourth Proportional to 264,280.85, 364,707.83 and 143,422.16

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Solution

The fourth proportional to 264,280.85, 364,707.83 and 143,422.16 is: 197,922.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,280.85 : 364,707.83 = 143,422.16 : x
  2. Step 2: Convert to fraction form
    264,280.85/364,707.83 = 143,422.16/x
  3. Step 3: Cross multiply
    264,280.85x = 364,707.83 × 143,422.16
  4. Step 4: Simplify right side
    264,280.85x = 52,307,184,030.40
  5. Step 5: Solve for x
    x = 52,307,184,030.40/264,280.85
  6. Step 6: Final answer
    x = 197,922.72

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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.