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Finding the Fourth Proportional to 196,503.84, 294,509.12 and 84,051.88

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Solution

The fourth proportional to 196,503.84, 294,509.12 and 84,051.88 is: 125,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,503.84 : 294,509.12 = 84,051.88 : x
  2. Step 2: Convert to fraction form
    196,503.84/294,509.12 = 84,051.88/x
  3. Step 3: Cross multiply
    196,503.84x = 294,509.12 × 84,051.88
  4. Step 4: Simplify right side
    196,503.84x = 24,754,044,056.61
  5. Step 5: Solve for x
    x = 24,754,044,056.61/196,503.84
  6. Step 6: Final answer
    x = 125,972.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.