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Finding the Fourth Proportional to 142,089.84, 196,083.04 and 77,558.82

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Solution

The fourth proportional to 142,089.84, 196,083.04 and 77,558.82 is: 107,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,089.84 : 196,083.04 = 77,558.82 : x
  2. Step 2: Convert to fraction form
    142,089.84/196,083.04 = 77,558.82/x
  3. Step 3: Cross multiply
    142,089.84x = 196,083.04 × 77,558.82
  4. Step 4: Simplify right side
    142,089.84x = 15,207,968,816.62
  5. Step 5: Solve for x
    x = 15,207,968,816.62/142,089.84
  6. Step 6: Final answer
    x = 107,030.66

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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.