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Finding the Fourth Proportional to 157,872, 234,777.92 and 152,888.34

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Solution

The fourth proportional to 157,872, 234,777.92 and 152,888.34 is: 227,366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,872 : 234,777.92 = 152,888.34 : x
  2. Step 2: Convert to fraction form
    157,872/234,777.92 = 152,888.34/x
  3. Step 3: Cross multiply
    157,872x = 234,777.92 × 152,888.34
  4. Step 4: Simplify right side
    157,872x = 35,894,805,693.01
  5. Step 5: Solve for x
    x = 35,894,805,693.01/157,872
  6. Step 6: Final answer
    x = 227,366.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.