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Finding the Fourth Proportional to 128,854.84, 193,123.62 and 61,422.34

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Solution

The fourth proportional to 128,854.84, 193,123.62 and 61,422.34 is: 92,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,854.84 : 193,123.62 = 61,422.34 : x
  2. Step 2: Convert to fraction form
    128,854.84/193,123.62 = 61,422.34/x
  3. Step 3: Cross multiply
    128,854.84x = 193,123.62 × 61,422.34
  4. Step 4: Simplify right side
    128,854.84x = 11,862,104,649.67
  5. Step 5: Solve for x
    x = 11,862,104,649.67/128,854.84
  6. Step 6: Final answer
    x = 92,057.89

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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.