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Finding the Fourth Proportional to 255,294.04, 382,955.46 and 77,806.84

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Solution

The fourth proportional to 255,294.04, 382,955.46 and 77,806.84 is: 116,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,294.04 : 382,955.46 = 77,806.84 : x
  2. Step 2: Convert to fraction form
    255,294.04/382,955.46 = 77,806.84/x
  3. Step 3: Cross multiply
    255,294.04x = 382,955.46 × 77,806.84
  4. Step 4: Simplify right side
    255,294.04x = 29,796,554,203.35
  5. Step 5: Solve for x
    x = 29,796,554,203.35/255,294.04
  6. Step 6: Final answer
    x = 116,714.65

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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.