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Finding the Fourth Proportional to 185,893.10, 256,534.02 and 101,010.16

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Solution

The fourth proportional to 185,893.10, 256,534.02 and 101,010.16 is: 139,394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,893.10 : 256,534.02 = 101,010.16 : x
  2. Step 2: Convert to fraction form
    185,893.10/256,534.02 = 101,010.16/x
  3. Step 3: Cross multiply
    185,893.10x = 256,534.02 × 101,010.16
  4. Step 4: Simplify right side
    185,893.10x = 25,912,543,234.74
  5. Step 5: Solve for x
    x = 25,912,543,234.74/185,893.10
  6. Step 6: Final answer
    x = 139,394.86

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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.