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Finding the Fourth Proportional to 104,232.48, 143,840.46 and 56,487

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Solution

The fourth proportional to 104,232.48, 143,840.46 and 56,487 is: 77,951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,232.48 : 143,840.46 = 56,487 : x
  2. Step 2: Convert to fraction form
    104,232.48/143,840.46 = 56,487/x
  3. Step 3: Cross multiply
    104,232.48x = 143,840.46 × 56,487
  4. Step 4: Simplify right side
    104,232.48x = 8,125,116,064.02
  5. Step 5: Solve for x
    x = 8,125,116,064.02/104,232.48
  6. Step 6: Final answer
    x = 77,951.86

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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.