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Finding the Fourth Proportional to 255,218, 382,830.24 and 89,006

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Solution

The fourth proportional to 255,218, 382,830.24 and 89,006 is: 133,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,218 : 382,830.24 = 89,006 : x
  2. Step 2: Convert to fraction form
    255,218/382,830.24 = 89,006/x
  3. Step 3: Cross multiply
    255,218x = 382,830.24 × 89,006
  4. Step 4: Simplify right side
    255,218x = 34,074,188,341.44
  5. Step 5: Solve for x
    x = 34,074,188,341.44/255,218
  6. Step 6: Final answer
    x = 133,510.13

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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.