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Finding the Fourth Proportional to 157,093.90, 235,381.65 and 133,765.90

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Solution

The fourth proportional to 157,093.90, 235,381.65 and 133,765.90 is: 200,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,093.90 : 235,381.65 = 133,765.90 : x
  2. Step 2: Convert to fraction form
    157,093.90/235,381.65 = 133,765.90/x
  3. Step 3: Cross multiply
    157,093.90x = 235,381.65 × 133,765.90
  4. Step 4: Simplify right side
    157,093.90x = 31,486,038,255.74
  5. Step 5: Solve for x
    x = 31,486,038,255.74/157,093.90
  6. Step 6: Final answer
    x = 200,428.14

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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.