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Finding the Fourth Proportional to 178,636.46, 268,036.49 and 77,465.50

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Solution

The fourth proportional to 178,636.46, 268,036.49 and 77,465.50 is: 116,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,636.46 : 268,036.49 = 77,465.50 : x
  2. Step 2: Convert to fraction form
    178,636.46/268,036.49 = 77,465.50/x
  3. Step 3: Cross multiply
    178,636.46x = 268,036.49 × 77,465.50
  4. Step 4: Simplify right side
    178,636.46x = 20,763,580,239.67
  5. Step 5: Solve for x
    x = 20,763,580,239.67/178,636.46
  6. Step 6: Final answer
    x = 116,233.72

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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.