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Finding the Fourth Proportional to 255,063.14, 351,990.10 and 146,165.32

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Solution

The fourth proportional to 255,063.14, 351,990.10 and 146,165.32 is: 201,709.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,063.14 : 351,990.10 = 146,165.32 : x
  2. Step 2: Convert to fraction form
    255,063.14/351,990.10 = 146,165.32/x
  3. Step 3: Cross multiply
    255,063.14x = 351,990.10 × 146,165.32
  4. Step 4: Simplify right side
    255,063.14x = 51,448,745,603.33
  5. Step 5: Solve for x
    x = 51,448,745,603.33/255,063.14
  6. Step 6: Final answer
    x = 201,709.84

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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.