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Finding the Fourth Proportional to 133,714.53, 200,119.70 and 130,116.25

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Solution

The fourth proportional to 133,714.53, 200,119.70 and 130,116.25 is: 194,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,714.53 : 200,119.70 = 130,116.25 : x
  2. Step 2: Convert to fraction form
    133,714.53/200,119.70 = 130,116.25/x
  3. Step 3: Cross multiply
    133,714.53x = 200,119.70 × 130,116.25
  4. Step 4: Simplify right side
    133,714.53x = 26,038,824,915.13
  5. Step 5: Solve for x
    x = 26,038,824,915.13/133,714.53
  6. Step 6: Final answer
    x = 194,734.45

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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.