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Finding the Fourth Proportional to 228,612.40, 315,639.16 and 142,702.18

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Solution

The fourth proportional to 228,612.40, 315,639.16 and 142,702.18 is: 197,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,612.40 : 315,639.16 = 142,702.18 : x
  2. Step 2: Convert to fraction form
    228,612.40/315,639.16 = 142,702.18/x
  3. Step 3: Cross multiply
    228,612.40x = 315,639.16 × 142,702.18
  4. Step 4: Simplify right side
    228,612.40x = 45,042,395,079.52
  5. Step 5: Solve for x
    x = 45,042,395,079.52/228,612.40
  6. Step 6: Final answer
    x = 197,025.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.