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Finding the Fourth Proportional to 136,327.40, 204,644.70 and 105,300.20

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Solution

The fourth proportional to 136,327.40, 204,644.70 and 105,300.20 is: 158,068.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,327.40 : 204,644.70 = 105,300.20 : x
  2. Step 2: Convert to fraction form
    136,327.40/204,644.70 = 105,300.20/x
  3. Step 3: Cross multiply
    136,327.40x = 204,644.70 × 105,300.20
  4. Step 4: Simplify right side
    136,327.40x = 21,549,127,838.94
  5. Step 5: Solve for x
    x = 21,549,127,838.94/136,327.40
  6. Step 6: Final answer
    x = 158,068.94

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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.