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Finding the Fourth Proportional to 251,702.16, 347,342 and 142,826.32

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Solution

The fourth proportional to 251,702.16, 347,342 and 142,826.32 is: 197,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,702.16 : 347,342 = 142,826.32 : x
  2. Step 2: Convert to fraction form
    251,702.16/347,342 = 142,826.32/x
  3. Step 3: Cross multiply
    251,702.16x = 347,342 × 142,826.32
  4. Step 4: Simplify right side
    251,702.16x = 49,609,579,641.44
  5. Step 5: Solve for x
    x = 49,609,579,641.44/251,702.16
  6. Step 6: Final answer
    x = 197,096.36

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1.5x scale

Why These Related Problems?

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