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Finding the Fourth Proportional to 264,681.66, 365,261.16 and 143,824.40

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Solution

The fourth proportional to 264,681.66, 365,261.16 and 143,824.40 is: 198,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,681.66 : 365,261.16 = 143,824.40 : x
  2. Step 2: Convert to fraction form
    264,681.66/365,261.16 = 143,824.40/x
  3. Step 3: Cross multiply
    264,681.66x = 365,261.16 × 143,824.40
  4. Step 4: Simplify right side
    264,681.66x = 52,533,467,180.30
  5. Step 5: Solve for x
    x = 52,533,467,180.30/264,681.66
  6. Step 6: Final answer
    x = 198,477.93

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Why These Related Problems?

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