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Finding the Fourth Proportional to 144,986.60, 217,415.10 and 56,210.60

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Solution

The fourth proportional to 144,986.60, 217,415.10 and 56,210.60 is: 84,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,986.60 : 217,415.10 = 56,210.60 : x
  2. Step 2: Convert to fraction form
    144,986.60/217,415.10 = 56,210.60/x
  3. Step 3: Cross multiply
    144,986.60x = 217,415.10 × 56,210.60
  4. Step 4: Simplify right side
    144,986.60x = 12,221,033,220.06
  5. Step 5: Solve for x
    x = 12,221,033,220.06/144,986.60
  6. Step 6: Final answer
    x = 84,290.78

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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.