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Finding the Fourth Proportional to 255,158.56, 382,753.98 and 77,678.56

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Solution

The fourth proportional to 255,158.56, 382,753.98 and 77,678.56 is: 116,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,158.56 : 382,753.98 = 77,678.56 : x
  2. Step 2: Convert to fraction form
    255,158.56/382,753.98 = 77,678.56/x
  3. Step 3: Cross multiply
    255,158.56x = 382,753.98 × 77,678.56
  4. Step 4: Simplify right side
    255,158.56x = 29,731,778,000.67
  5. Step 5: Solve for x
    x = 29,731,778,000.67/255,158.56
  6. Step 6: Final answer
    x = 116,522.75

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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.