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Finding the Fourth Proportional to 130,108.71, 195,030.14 and 73,830

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Solution

The fourth proportional to 130,108.71, 195,030.14 and 73,830 is: 110,669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,108.71 : 195,030.14 = 73,830 : x
  2. Step 2: Convert to fraction form
    130,108.71/195,030.14 = 73,830/x
  3. Step 3: Cross multiply
    130,108.71x = 195,030.14 × 73,830
  4. Step 4: Simplify right side
    130,108.71x = 14,399,074,867.05
  5. Step 5: Solve for x
    x = 14,399,074,867.05/130,108.71
  6. Step 6: Final answer
    x = 110,669.57

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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.