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Finding the Fourth Proportional to 264,108.64, 364,466.64 and 143,248

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Solution

The fourth proportional to 264,108.64, 364,466.64 and 143,248 is: 197,680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,108.64 : 364,466.64 = 143,248 : x
  2. Step 2: Convert to fraction form
    264,108.64/364,466.64 = 143,248/x
  3. Step 3: Cross multiply
    264,108.64x = 364,466.64 × 143,248
  4. Step 4: Simplify right side
    264,108.64x = 52,209,117,246.72
  5. Step 5: Solve for x
    x = 52,209,117,246.72/264,108.64
  6. Step 6: Final answer
    x = 197,680.46

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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.