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Finding the Fourth Proportional to 200,001.60, 300,002.40 and 165,441.60

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Solution

The fourth proportional to 200,001.60, 300,002.40 and 165,441.60 is: 248,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,001.60 : 300,002.40 = 165,441.60 : x
  2. Step 2: Convert to fraction form
    200,001.60/300,002.40 = 165,441.60/x
  3. Step 3: Cross multiply
    200,001.60x = 300,002.40 × 165,441.60
  4. Step 4: Simplify right side
    200,001.60x = 49,632,877,059.84
  5. Step 5: Solve for x
    x = 49,632,877,059.84/200,001.60
  6. Step 6: Final answer
    x = 248,162.40

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1.5x scale

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.