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Finding the Fourth Proportional to 232,283.70, 348,190.20 and 157,411.35

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Solution

The fourth proportional to 232,283.70, 348,190.20 and 157,411.35 is: 235,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,283.70 : 348,190.20 = 157,411.35 : x
  2. Step 2: Convert to fraction form
    232,283.70/348,190.20 = 157,411.35/x
  3. Step 3: Cross multiply
    232,283.70x = 348,190.20 × 157,411.35
  4. Step 4: Simplify right side
    232,283.70x = 54,809,089,438.77
  5. Step 5: Solve for x
    x = 54,809,089,438.77/232,283.70
  6. Step 6: Final answer
    x = 235,957.54

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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.