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Finding the Fourth Proportional to 212,098.46, 318,140.40 and 54,328.28

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Solution

The fourth proportional to 212,098.46, 318,140.40 and 54,328.28 is: 81,490.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,098.46 : 318,140.40 = 54,328.28 : x
  2. Step 2: Convert to fraction form
    212,098.46/318,140.40 = 54,328.28/x
  3. Step 3: Cross multiply
    212,098.46x = 318,140.40 × 54,328.28
  4. Step 4: Simplify right side
    212,098.46x = 17,284,020,730.51
  5. Step 5: Solve for x
    x = 17,284,020,730.51/212,098.46
  6. Step 6: Final answer
    x = 81,490.55

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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.