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Finding the Fourth Proportional to 137,257.17, 189,415.55 and 76,829.01

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Solution

The fourth proportional to 137,257.17, 189,415.55 and 76,829.01 is: 106,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,257.17 : 189,415.55 = 76,829.01 : x
  2. Step 2: Convert to fraction form
    137,257.17/189,415.55 = 76,829.01/x
  3. Step 3: Cross multiply
    137,257.17x = 189,415.55 × 76,829.01
  4. Step 4: Simplify right side
    137,257.17x = 14,552,609,185.11
  5. Step 5: Solve for x
    x = 14,552,609,185.11/137,257.17
  6. Step 6: Final answer
    x = 106,024.40

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