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Finding the Fourth Proportional to 157,897.81, 234,815.96 and 152,914.29

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Solution

The fourth proportional to 157,897.81, 234,815.96 and 152,914.29 is: 227,404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,897.81 : 234,815.96 = 152,914.29 : x
  2. Step 2: Convert to fraction form
    157,897.81/234,815.96 = 152,914.29/x
  3. Step 3: Cross multiply
    157,897.81x = 234,815.96 × 152,914.29
  4. Step 4: Simplify right side
    157,897.81x = 35,906,715,804.07
  5. Step 5: Solve for x
    x = 35,906,715,804.07/157,897.81
  6. Step 6: Final answer
    x = 227,404.77

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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.