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Finding the Fourth Proportional to 130,024.10, 182,427.40 and 130,024.10

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Solution

The fourth proportional to 130,024.10, 182,427.40 and 130,024.10 is: 182,427.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,024.10 : 182,427.40 = 130,024.10 : x
  2. Step 2: Convert to fraction form
    130,024.10/182,427.40 = 130,024.10/x
  3. Step 3: Cross multiply
    130,024.10x = 182,427.40 × 130,024.10
  4. Step 4: Simplify right side
    130,024.10x = 23,719,958,500.34
  5. Step 5: Solve for x
    x = 23,719,958,500.34/130,024.10
  6. Step 6: Final answer
    x = 182,427.40

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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.