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Finding the Fourth Proportional to 102,352.94, 153,575.49 and 55,535.66

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Solution

The fourth proportional to 102,352.94, 153,575.49 and 55,535.66 is: 83,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,352.94 : 153,575.49 = 55,535.66 : x
  2. Step 2: Convert to fraction form
    102,352.94/153,575.49 = 55,535.66/x
  3. Step 3: Cross multiply
    102,352.94x = 153,575.49 × 55,535.66
  4. Step 4: Simplify right side
    102,352.94x = 8,528,916,196.97
  5. Step 5: Solve for x
    x = 8,528,916,196.97/102,352.94
  6. Step 6: Final answer
    x = 83,328.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.