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Finding the Fourth Proportional to 144,276.09, 216,346.02 and 84,321.77

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Solution

The fourth proportional to 144,276.09, 216,346.02 and 84,321.77 is: 126,442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,276.09 : 216,346.02 = 84,321.77 : x
  2. Step 2: Convert to fraction form
    144,276.09/216,346.02 = 84,321.77/x
  3. Step 3: Cross multiply
    144,276.09x = 216,346.02 × 84,321.77
  4. Step 4: Simplify right side
    144,276.09x = 18,242,678,257.13
  5. Step 5: Solve for x
    x = 18,242,678,257.13/144,276.09
  6. Step 6: Final answer
    x = 126,442.84

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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.