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Finding the Fourth Proportional to 130,444.88, 195,706.36 and 75,002

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Solution

The fourth proportional to 130,444.88, 195,706.36 and 75,002 is: 112,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,444.88 : 195,706.36 = 75,002 : x
  2. Step 2: Convert to fraction form
    130,444.88/195,706.36 = 75,002/x
  3. Step 3: Cross multiply
    130,444.88x = 195,706.36 × 75,002
  4. Step 4: Simplify right side
    130,444.88x = 14,678,368,412.72
  5. Step 5: Solve for x
    x = 14,678,368,412.72/130,444.88
  6. Step 6: Final answer
    x = 112,525.45

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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.