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Finding the Fourth Proportional to 307,160.64, 460,550.88 and 119,952

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Solution

The fourth proportional to 307,160.64, 460,550.88 and 119,952 is: 179,853.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,160.64 : 460,550.88 = 119,952 : x
  2. Step 2: Convert to fraction form
    307,160.64/460,550.88 = 119,952/x
  3. Step 3: Cross multiply
    307,160.64x = 460,550.88 × 119,952
  4. Step 4: Simplify right side
    307,160.64x = 55,243,999,157.76
  5. Step 5: Solve for x
    x = 55,243,999,157.76/307,160.64
  6. Step 6: Final answer
    x = 179,853.77

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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.