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Finding the Fourth Proportional to 144,523.40, 216,785.10 and 61,406.60

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Solution

The fourth proportional to 144,523.40, 216,785.10 and 61,406.60 is: 92,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,523.40 : 216,785.10 = 61,406.60 : x
  2. Step 2: Convert to fraction form
    144,523.40/216,785.10 = 61,406.60/x
  3. Step 3: Cross multiply
    144,523.40x = 216,785.10 × 61,406.60
  4. Step 4: Simplify right side
    144,523.40x = 13,312,035,921.66
  5. Step 5: Solve for x
    x = 13,312,035,921.66/144,523.40
  6. Step 6: Final answer
    x = 92,109.90

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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.