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Finding the Fourth Proportional to 102,710.20, 153,846.60 and 83,027.20

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Solution

The fourth proportional to 102,710.20, 153,846.60 and 83,027.20 is: 124,364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,710.20 : 153,846.60 = 83,027.20 : x
  2. Step 2: Convert to fraction form
    102,710.20/153,846.60 = 83,027.20/x
  3. Step 3: Cross multiply
    102,710.20x = 153,846.60 × 83,027.20
  4. Step 4: Simplify right side
    102,710.20x = 12,773,452,427.52
  5. Step 5: Solve for x
    x = 12,773,452,427.52/102,710.20
  6. Step 6: Final answer
    x = 124,364.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.