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Finding the Fourth Proportional to 212,712.30, 319,068.45 and 118,233.90

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Solution

The fourth proportional to 212,712.30, 319,068.45 and 118,233.90 is: 177,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,712.30 : 319,068.45 = 118,233.90 : x
  2. Step 2: Convert to fraction form
    212,712.30/319,068.45 = 118,233.90/x
  3. Step 3: Cross multiply
    212,712.30x = 319,068.45 × 118,233.90
  4. Step 4: Simplify right side
    212,712.30x = 37,724,707,210.46
  5. Step 5: Solve for x
    x = 37,724,707,210.46/212,712.30
  6. Step 6: Final answer
    x = 177,350.85

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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.