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Finding the Fourth Proportional to 214,463.10, 295,994.58 and 119,000.58

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Solution

The fourth proportional to 214,463.10, 295,994.58 and 119,000.58 is: 164,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,463.10 : 295,994.58 = 119,000.58 : x
  2. Step 2: Convert to fraction form
    214,463.10/295,994.58 = 119,000.58/x
  3. Step 3: Cross multiply
    214,463.10x = 295,994.58 × 119,000.58
  4. Step 4: Simplify right side
    214,463.10x = 35,223,526,696.86
  5. Step 5: Solve for x
    x = 35,223,526,696.86/214,463.10
  6. Step 6: Final answer
    x = 164,240.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.