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Finding the Fourth Proportional to 152,944, 210,971.20 and 96,256.96

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Solution

The fourth proportional to 152,944, 210,971.20 and 96,256.96 is: 132,777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,944 : 210,971.20 = 96,256.96 : x
  2. Step 2: Convert to fraction form
    152,944/210,971.20 = 96,256.96/x
  3. Step 3: Cross multiply
    152,944x = 210,971.20 × 96,256.96
  4. Step 4: Simplify right side
    152,944x = 20,307,446,359.55
  5. Step 5: Solve for x
    x = 20,307,446,359.55/152,944
  6. Step 6: Final answer
    x = 132,777.01

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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.