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Finding the Fourth Proportional to 126,782.40, 174,931.98 and 75,787.50

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Solution

The fourth proportional to 126,782.40, 174,931.98 and 75,787.50 is: 104,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,782.40 : 174,931.98 = 75,787.50 : x
  2. Step 2: Convert to fraction form
    126,782.40/174,931.98 = 75,787.50/x
  3. Step 3: Cross multiply
    126,782.40x = 174,931.98 × 75,787.50
  4. Step 4: Simplify right side
    126,782.40x = 13,257,657,434.25
  5. Step 5: Solve for x
    x = 13,257,657,434.25/126,782.40
  6. Step 6: Final answer
    x = 104,570.17

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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.