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Finding the Fourth Proportional to 137,981.84, 190,412.36 and 76,731.76

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Solution

The fourth proportional to 137,981.84, 190,412.36 and 76,731.76 is: 105,888.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,981.84 : 190,412.36 = 76,731.76 : x
  2. Step 2: Convert to fraction form
    137,981.84/190,412.36 = 76,731.76/x
  3. Step 3: Cross multiply
    137,981.84x = 190,412.36 × 76,731.76
  4. Step 4: Simplify right side
    137,981.84x = 14,610,675,508.55
  5. Step 5: Solve for x
    x = 14,610,675,508.55/137,981.84
  6. Step 6: Final answer
    x = 105,888.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.