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Finding the Fourth Proportional to 135,534.70, 187,038.99 and 75,106.35

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Solution

The fourth proportional to 135,534.70, 187,038.99 and 75,106.35 is: 103,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,534.70 : 187,038.99 = 75,106.35 : x
  2. Step 2: Convert to fraction form
    135,534.70/187,038.99 = 75,106.35/x
  3. Step 3: Cross multiply
    135,534.70x = 187,038.99 × 75,106.35
  4. Step 4: Simplify right side
    135,534.70x = 14,047,815,471.05
  5. Step 5: Solve for x
    x = 14,047,815,471.05/135,534.70
  6. Step 6: Final answer
    x = 103,647.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.