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Finding the Fourth Proportional to 264,423.88, 364,898.82 and 143,565.40

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Solution

The fourth proportional to 264,423.88, 364,898.82 and 143,565.40 is: 198,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,423.88 : 364,898.82 = 143,565.40 : x
  2. Step 2: Convert to fraction form
    264,423.88/364,898.82 = 143,565.40/x
  3. Step 3: Cross multiply
    264,423.88x = 364,898.82 × 143,565.40
  4. Step 4: Simplify right side
    264,423.88x = 52,386,845,052.83
  5. Step 5: Solve for x
    x = 52,386,845,052.83/264,423.88
  6. Step 6: Final answer
    x = 198,116.92

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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.