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Finding the Fourth Proportional to 255,094.60, 382,641.90 and 161,705.80

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Solution

The fourth proportional to 255,094.60, 382,641.90 and 161,705.80 is: 242,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,094.60 : 382,641.90 = 161,705.80 : x
  2. Step 2: Convert to fraction form
    255,094.60/382,641.90 = 161,705.80/x
  3. Step 3: Cross multiply
    255,094.60x = 382,641.90 × 161,705.80
  4. Step 4: Simplify right side
    255,094.60x = 61,875,414,553.02
  5. Step 5: Solve for x
    x = 61,875,414,553.02/255,094.60
  6. Step 6: Final answer
    x = 242,558.70

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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.