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Finding the Fourth Proportional to 152,100.10, 228,074.01 and 46,905.40

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Solution

The fourth proportional to 152,100.10, 228,074.01 and 46,905.40 is: 70,334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,100.10 : 228,074.01 = 46,905.40 : x
  2. Step 2: Convert to fraction form
    152,100.10/228,074.01 = 46,905.40/x
  3. Step 3: Cross multiply
    152,100.10x = 228,074.01 × 46,905.40
  4. Step 4: Simplify right side
    152,100.10x = 10,697,902,668.65
  5. Step 5: Solve for x
    x = 10,697,902,668.65/152,100.10
  6. Step 6: Final answer
    x = 70,334.62

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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.