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Finding the Fourth Proportional to 255,876.84, 383,617.08 and 171,501.84

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Solution

The fourth proportional to 255,876.84, 383,617.08 and 171,501.84 is: 257,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,876.84 : 383,617.08 = 171,501.84 : x
  2. Step 2: Convert to fraction form
    255,876.84/383,617.08 = 171,501.84/x
  3. Step 3: Cross multiply
    255,876.84x = 383,617.08 × 171,501.84
  4. Step 4: Simplify right side
    255,876.84x = 65,791,035,075.43
  5. Step 5: Solve for x
    x = 65,791,035,075.43/255,876.84
  6. Step 6: Final answer
    x = 257,119.93

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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.