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Finding the Fourth Proportional to 130,593.84, 195,705.99 and 55,638.51

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Solution

The fourth proportional to 130,593.84, 195,705.99 and 55,638.51 is: 83,379.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,593.84 : 195,705.99 = 55,638.51 : x
  2. Step 2: Convert to fraction form
    130,593.84/195,705.99 = 55,638.51/x
  3. Step 3: Cross multiply
    130,593.84x = 195,705.99 × 55,638.51
  4. Step 4: Simplify right side
    130,593.84x = 10,888,789,681.67
  5. Step 5: Solve for x
    x = 10,888,789,681.67/130,593.84
  6. Step 6: Final answer
    x = 83,379.05

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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.