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Finding the Fourth Proportional to 255,902.34, 383,902.71 and 98,118.48

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Solution

The fourth proportional to 255,902.34, 383,902.71 and 98,118.48 is: 147,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,902.34 : 383,902.71 = 98,118.48 : x
  2. Step 2: Convert to fraction form
    255,902.34/383,902.71 = 98,118.48/x
  3. Step 3: Cross multiply
    255,902.34x = 383,902.71 × 98,118.48
  4. Step 4: Simplify right side
    255,902.34x = 37,667,950,373.08
  5. Step 5: Solve for x
    x = 37,667,950,373.08/255,902.34
  6. Step 6: Final answer
    x = 147,196.58

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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.