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Finding the Fourth Proportional to 142,328.94, 196,412.31 and 77,797.50

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Solution

The fourth proportional to 142,328.94, 196,412.31 and 77,797.50 is: 107,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,328.94 : 196,412.31 = 77,797.50 : x
  2. Step 2: Convert to fraction form
    142,328.94/196,412.31 = 77,797.50/x
  3. Step 3: Cross multiply
    142,328.94x = 196,412.31 × 77,797.50
  4. Step 4: Simplify right side
    142,328.94x = 15,280,386,687.23
  5. Step 5: Solve for x
    x = 15,280,386,687.23/142,328.94
  6. Step 6: Final answer
    x = 107,359.66

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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.