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Finding the Fourth Proportional to 136,670.40, 205,005.60 and 97,012.80

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Solution

The fourth proportional to 136,670.40, 205,005.60 and 97,012.80 is: 145,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,670.40 : 205,005.60 = 97,012.80 : x
  2. Step 2: Convert to fraction form
    136,670.40/205,005.60 = 97,012.80/x
  3. Step 3: Cross multiply
    136,670.40x = 205,005.60 × 97,012.80
  4. Step 4: Simplify right side
    136,670.40x = 19,888,167,271.68
  5. Step 5: Solve for x
    x = 19,888,167,271.68/136,670.40
  6. Step 6: Final answer
    x = 145,519.20

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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.