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Finding the Fourth Proportional to 157,858.47, 234,757.80 and 152,874.81

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Solution

The fourth proportional to 157,858.47, 234,757.80 and 152,874.81 is: 227,346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,858.47 : 234,757.80 = 152,874.81 : x
  2. Step 2: Convert to fraction form
    157,858.47/234,757.80 = 152,874.81/x
  3. Step 3: Cross multiply
    157,858.47x = 234,757.80 × 152,874.81
  4. Step 4: Simplify right side
    157,858.47x = 35,888,554,071.02
  5. Step 5: Solve for x
    x = 35,888,554,071.02/157,858.47
  6. Step 6: Final answer
    x = 227,346.39

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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.