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Finding the Fourth Proportional to 232,612.84, 321,041.04 and 142,021.60

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Solution

The fourth proportional to 232,612.84, 321,041.04 and 142,021.60 is: 196,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,612.84 : 321,041.04 = 142,021.60 : x
  2. Step 2: Convert to fraction form
    232,612.84/321,041.04 = 142,021.60/x
  3. Step 3: Cross multiply
    232,612.84x = 321,041.04 × 142,021.60
  4. Step 4: Simplify right side
    232,612.84x = 45,594,762,166.46
  5. Step 5: Solve for x
    x = 45,594,762,166.46/232,612.84
  6. Step 6: Final answer
    x = 196,011.37

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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.