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Finding the Fourth Proportional to 130,031.10, 195,046.65 and 130,031.10

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Solution

The fourth proportional to 130,031.10, 195,046.65 and 130,031.10 is: 195,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,031.10 : 195,046.65 = 130,031.10 : x
  2. Step 2: Convert to fraction form
    130,031.10/195,046.65 = 130,031.10/x
  3. Step 3: Cross multiply
    130,031.10x = 195,046.65 × 130,031.10
  4. Step 4: Simplify right side
    130,031.10x = 25,362,130,450.82
  5. Step 5: Solve for x
    x = 25,362,130,450.82/130,031.10
  6. Step 6: Final answer
    x = 195,046.65

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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.