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Finding the Fourth Proportional to 257,026.70, 385,632.29 and 114,860.07

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Solution

The fourth proportional to 257,026.70, 385,632.29 and 114,860.07 is: 172,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,026.70 : 385,632.29 = 114,860.07 : x
  2. Step 2: Convert to fraction form
    257,026.70/385,632.29 = 114,860.07/x
  3. Step 3: Cross multiply
    257,026.70x = 385,632.29 × 114,860.07
  4. Step 4: Simplify right side
    257,026.70x = 44,293,752,110.81
  5. Step 5: Solve for x
    x = 44,293,752,110.81/257,026.70
  6. Step 6: Final answer
    x = 172,331.32

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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.