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Finding the Fourth Proportional to 189,875.50, 284,875.65 and 77,650.12

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Solution

The fourth proportional to 189,875.50, 284,875.65 and 77,650.12 is: 116,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,875.50 : 284,875.65 = 77,650.12 : x
  2. Step 2: Convert to fraction form
    189,875.50/284,875.65 = 77,650.12/x
  3. Step 3: Cross multiply
    189,875.50x = 284,875.65 × 77,650.12
  4. Step 4: Simplify right side
    189,875.50x = 22,120,628,407.58
  5. Step 5: Solve for x
    x = 22,120,628,407.58/189,875.50
  6. Step 6: Final answer
    x = 116,500.70

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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.