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Finding the Fourth Proportional to 333,783.70, 500,706.34 and 109,145.30

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Solution

The fourth proportional to 333,783.70, 500,706.34 and 109,145.30 is: 163,728.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,783.70 : 500,706.34 = 109,145.30 : x
  2. Step 2: Convert to fraction form
    333,783.70/500,706.34 = 109,145.30/x
  3. Step 3: Cross multiply
    333,783.70x = 500,706.34 × 109,145.30
  4. Step 4: Simplify right side
    333,783.70x = 54,649,740,914.81
  5. Step 5: Solve for x
    x = 54,649,740,914.81/333,783.70
  6. Step 6: Final answer
    x = 163,728.01

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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.