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Finding the Fourth Proportional to 157,076.90, 235,356.15 and 133,748.90

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Solution

The fourth proportional to 157,076.90, 235,356.15 and 133,748.90 is: 200,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,076.90 : 235,356.15 = 133,748.90 : x
  2. Step 2: Convert to fraction form
    157,076.90/235,356.15 = 133,748.90/x
  3. Step 3: Cross multiply
    157,076.90x = 235,356.15 × 133,748.90
  4. Step 4: Simplify right side
    157,076.90x = 31,478,626,170.74
  5. Step 5: Solve for x
    x = 31,478,626,170.74/157,076.90
  6. Step 6: Final answer
    x = 200,402.64

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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.