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Finding the Fourth Proportional to 255,045.53, 382,589.73 and 77,554.08

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Solution

The fourth proportional to 255,045.53, 382,589.73 and 77,554.08 is: 116,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,045.53 : 382,589.73 = 77,554.08 : x
  2. Step 2: Convert to fraction form
    255,045.53/382,589.73 = 77,554.08/x
  3. Step 3: Cross multiply
    255,045.53x = 382,589.73 × 77,554.08
  4. Step 4: Simplify right side
    255,045.53x = 29,671,394,527.60
  5. Step 5: Solve for x
    x = 29,671,394,527.60/255,045.53
  6. Step 6: Final answer
    x = 116,337.64

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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.