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Finding the Fourth Proportional to 135,762.42, 187,356.42 and 75,337.50

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Solution

The fourth proportional to 135,762.42, 187,356.42 and 75,337.50 is: 103,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,762.42 : 187,356.42 = 75,337.50 : x
  2. Step 2: Convert to fraction form
    135,762.42/187,356.42 = 75,337.50/x
  3. Step 3: Cross multiply
    135,762.42x = 187,356.42 × 75,337.50
  4. Step 4: Simplify right side
    135,762.42x = 14,114,964,291.75
  5. Step 5: Solve for x
    x = 14,114,964,291.75/135,762.42
  6. Step 6: Final answer
    x = 103,968.13

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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.