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Finding the Fourth Proportional to 264,126.66, 364,492.64 and 143,267.64

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Solution

The fourth proportional to 264,126.66, 364,492.64 and 143,267.64 is: 197,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,126.66 : 364,492.64 = 143,267.64 : x
  2. Step 2: Convert to fraction form
    264,126.66/364,492.64 = 143,267.64/x
  3. Step 3: Cross multiply
    264,126.66x = 364,492.64 × 143,267.64
  4. Step 4: Simplify right side
    264,126.66x = 52,219,999,613.83
  5. Step 5: Solve for x
    x = 52,219,999,613.83/264,126.66
  6. Step 6: Final answer
    x = 197,708.17

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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.