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Finding the Fourth Proportional to 157,135.68, 235,392.48 and 137,436.48

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Solution

The fourth proportional to 157,135.68, 235,392.48 and 137,436.48 is: 205,882.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,135.68 : 235,392.48 = 137,436.48 : x
  2. Step 2: Convert to fraction form
    157,135.68/235,392.48 = 137,436.48/x
  3. Step 3: Cross multiply
    157,135.68x = 235,392.48 × 137,436.48
  4. Step 4: Simplify right side
    157,135.68x = 32,351,513,869.67
  5. Step 5: Solve for x
    x = 32,351,513,869.67/157,135.68
  6. Step 6: Final answer
    x = 205,882.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.