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Finding the Fourth Proportional to 130,018.10, 182,419 and 130,018.10

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Solution

The fourth proportional to 130,018.10, 182,419 and 130,018.10 is: 182,419

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,018.10 : 182,419 = 130,018.10 : x
  2. Step 2: Convert to fraction form
    130,018.10/182,419 = 130,018.10/x
  3. Step 3: Cross multiply
    130,018.10x = 182,419 × 130,018.10
  4. Step 4: Simplify right side
    130,018.10x = 23,717,771,783.90
  5. Step 5: Solve for x
    x = 23,717,771,783.90/130,018.10
  6. Step 6: Final answer
    x = 182,419

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.