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Finding the Fourth Proportional to 232,023, 320,346.18 and 178,212

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Solution

The fourth proportional to 232,023, 320,346.18 and 178,212 is: 246,051.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,023 : 320,346.18 = 178,212 : x
  2. Step 2: Convert to fraction form
    232,023/320,346.18 = 178,212/x
  3. Step 3: Cross multiply
    232,023x = 320,346.18 × 178,212
  4. Step 4: Simplify right side
    232,023x = 57,089,533,430.16
  5. Step 5: Solve for x
    x = 57,089,533,430.16/232,023
  6. Step 6: Final answer
    x = 246,051.18

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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.