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Finding the Fourth Proportional to 219,642.32, 303,098.24 and 119,038.16

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Solution

The fourth proportional to 219,642.32, 303,098.24 and 119,038.16 is: 164,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,642.32 : 303,098.24 = 119,038.16 : x
  2. Step 2: Convert to fraction form
    219,642.32/303,098.24 = 119,038.16/x
  3. Step 3: Cross multiply
    219,642.32x = 303,098.24 × 119,038.16
  4. Step 4: Simplify right side
    219,642.32x = 36,080,256,788.84
  5. Step 5: Solve for x
    x = 36,080,256,788.84/219,642.32
  6. Step 6: Final answer
    x = 164,268.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.