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Finding the Fourth Proportional to 102,888.29, 155,103.60 and 96,030

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Solution

The fourth proportional to 102,888.29, 155,103.60 and 96,030 is: 144,764.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,888.29 : 155,103.60 = 96,030 : x
  2. Step 2: Convert to fraction form
    102,888.29/155,103.60 = 96,030/x
  3. Step 3: Cross multiply
    102,888.29x = 155,103.60 × 96,030
  4. Step 4: Simplify right side
    102,888.29x = 14,894,598,708
  5. Step 5: Solve for x
    x = 14,894,598,708/102,888.29
  6. Step 6: Final answer
    x = 144,764.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.