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Finding the Fourth Proportional to 142,083.84, 196,061.74 and 78,417.54

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Solution

The fourth proportional to 142,083.84, 196,061.74 and 78,417.54 is: 108,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,083.84 : 196,061.74 = 78,417.54 : x
  2. Step 2: Convert to fraction form
    142,083.84/196,061.74 = 78,417.54/x
  3. Step 3: Cross multiply
    142,083.84x = 196,061.74 × 78,417.54
  4. Step 4: Simplify right side
    142,083.84x = 15,374,678,946.83
  5. Step 5: Solve for x
    x = 15,374,678,946.83/142,083.84
  6. Step 6: Final answer
    x = 108,208.50

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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.