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Finding the Fourth Proportional to 98,178.27, 147,268.88 and 37,391.90

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Solution

The fourth proportional to 98,178.27, 147,268.88 and 37,391.90 is: 56,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,178.27 : 147,268.88 = 37,391.90 : x
  2. Step 2: Convert to fraction form
    98,178.27/147,268.88 = 37,391.90/x
  3. Step 3: Cross multiply
    98,178.27x = 147,268.88 × 37,391.90
  4. Step 4: Simplify right side
    98,178.27x = 5,506,662,310.77
  5. Step 5: Solve for x
    x = 5,506,662,310.77/98,178.27
  6. Step 6: Final answer
    x = 56,088.41

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Why These Related Problems?

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