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Finding the Fourth Proportional to 255,460, 383,196.48 and 89,248

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Solution

The fourth proportional to 255,460, 383,196.48 and 89,248 is: 133,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,460 : 383,196.48 = 89,248 : x
  2. Step 2: Convert to fraction form
    255,460/383,196.48 = 89,248/x
  3. Step 3: Cross multiply
    255,460x = 383,196.48 × 89,248
  4. Step 4: Simplify right side
    255,460x = 34,199,519,447.04
  5. Step 5: Solve for x
    x = 34,199,519,447.04/255,460
  6. Step 6: Final answer
    x = 133,874.26

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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.