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Finding the Fourth Proportional to 78,208.94, 107,928.45 and 42,398.94

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Solution

The fourth proportional to 78,208.94, 107,928.45 and 42,398.94 is: 58,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,208.94 : 107,928.45 = 42,398.94 : x
  2. Step 2: Convert to fraction form
    78,208.94/107,928.45 = 42,398.94/x
  3. Step 3: Cross multiply
    78,208.94x = 107,928.45 × 42,398.94
  4. Step 4: Simplify right side
    78,208.94x = 4,576,052,280.57
  5. Step 5: Solve for x
    x = 4,576,052,280.57/78,208.94
  6. Step 6: Final answer
    x = 58,510.60

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1.5x scale

Why These Related Problems?

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