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Finding the Fourth Proportional to 136,875.50, 205,313.76 and 42,105.06

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Solution

The fourth proportional to 136,875.50, 205,313.76 and 42,105.06 is: 63,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,875.50 : 205,313.76 = 42,105.06 : x
  2. Step 2: Convert to fraction form
    136,875.50/205,313.76 = 42,105.06/x
  3. Step 3: Cross multiply
    136,875.50x = 205,313.76 × 42,105.06
  4. Step 4: Simplify right side
    136,875.50x = 8,644,748,183.63
  5. Step 5: Solve for x
    x = 8,644,748,183.63/136,875.50
  6. Step 6: Final answer
    x = 63,157.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.