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Finding the Fourth Proportional to 136,461.70, 204,619.65 and 57,486.70

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Solution

The fourth proportional to 136,461.70, 204,619.65 and 57,486.70 is: 86,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,461.70 : 204,619.65 = 57,486.70 : x
  2. Step 2: Convert to fraction form
    136,461.70/204,619.65 = 57,486.70/x
  3. Step 3: Cross multiply
    136,461.70x = 204,619.65 × 57,486.70
  4. Step 4: Simplify right side
    136,461.70x = 11,762,908,433.66
  5. Step 5: Solve for x
    x = 11,762,908,433.66/136,461.70
  6. Step 6: Final answer
    x = 86,199.34

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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.