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Finding the Fourth Proportional to 257,207.40, 385,871.88 and 107,364.42

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Solution

The fourth proportional to 257,207.40, 385,871.88 and 107,364.42 is: 161,072.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,207.40 : 385,871.88 = 107,364.42 : x
  2. Step 2: Convert to fraction form
    257,207.40/385,871.88 = 107,364.42/x
  3. Step 3: Cross multiply
    257,207.40x = 385,871.88 × 107,364.42
  4. Step 4: Simplify right side
    257,207.40x = 41,428,910,590.51
  5. Step 5: Solve for x
    x = 41,428,910,590.51/257,207.40
  6. Step 6: Final answer
    x = 161,072.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.