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Finding the Fourth Proportional to 264,475.61, 364,975.02 and 143,615.82

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Solution

The fourth proportional to 264,475.61, 364,975.02 and 143,615.82 is: 198,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,475.61 : 364,975.02 = 143,615.82 : x
  2. Step 2: Convert to fraction form
    264,475.61/364,975.02 = 143,615.82/x
  3. Step 3: Cross multiply
    264,475.61x = 364,975.02 × 143,615.82
  4. Step 4: Simplify right side
    264,475.61x = 52,416,186,776.82
  5. Step 5: Solve for x
    x = 52,416,186,776.82/264,475.61
  6. Step 6: Final answer
    x = 198,189.11

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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.