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Finding the Fourth Proportional to 178,632.50, 268,030.60 and 77,461.56

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Solution

The fourth proportional to 178,632.50, 268,030.60 and 77,461.56 is: 116,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,632.50 : 268,030.60 = 77,461.56 : x
  2. Step 2: Convert to fraction form
    178,632.50/268,030.60 = 77,461.56/x
  3. Step 3: Cross multiply
    178,632.50x = 268,030.60 × 77,461.56
  4. Step 4: Simplify right side
    178,632.50x = 20,762,068,210.08
  5. Step 5: Solve for x
    x = 20,762,068,210.08/178,632.50
  6. Step 6: Final answer
    x = 116,227.84

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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.