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Finding the Fourth Proportional to 232,015.80, 348,023.70 and 142,980.60

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Solution

The fourth proportional to 232,015.80, 348,023.70 and 142,980.60 is: 214,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,015.80 : 348,023.70 = 142,980.60 : x
  2. Step 2: Convert to fraction form
    232,015.80/348,023.70 = 142,980.60/x
  3. Step 3: Cross multiply
    232,015.80x = 348,023.70 × 142,980.60
  4. Step 4: Simplify right side
    232,015.80x = 49,760,637,440.22
  5. Step 5: Solve for x
    x = 49,760,637,440.22/232,015.80
  6. Step 6: Final answer
    x = 214,470.90

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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.