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Finding the Fourth Proportional to 136,142.10, 187,875.69 and 75,718.33

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Solution

The fourth proportional to 136,142.10, 187,875.69 and 75,718.33 is: 104,491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,142.10 : 187,875.69 = 75,718.33 : x
  2. Step 2: Convert to fraction form
    136,142.10/187,875.69 = 75,718.33/x
  3. Step 3: Cross multiply
    136,142.10x = 187,875.69 × 75,718.33
  4. Step 4: Simplify right side
    136,142.10x = 14,225,632,740.76
  5. Step 5: Solve for x
    x = 14,225,632,740.76/136,142.10
  6. Step 6: Final answer
    x = 104,491.06

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