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Finding the Fourth Proportional to 255,226, 382,842.24 and 89,014

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Solution

The fourth proportional to 255,226, 382,842.24 and 89,014 is: 133,522.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,226 : 382,842.24 = 89,014 : x
  2. Step 2: Convert to fraction form
    255,226/382,842.24 = 89,014/x
  3. Step 3: Cross multiply
    255,226x = 382,842.24 × 89,014
  4. Step 4: Simplify right side
    255,226x = 34,078,319,151.36
  5. Step 5: Solve for x
    x = 34,078,319,151.36/255,226
  6. Step 6: Final answer
    x = 133,522.13

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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.