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Finding the Fourth Proportional to 219,547.24, 302,976.44 and 118,945.24

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Solution

The fourth proportional to 219,547.24, 302,976.44 and 118,945.24 is: 164,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,547.24 : 302,976.44 = 118,945.24 : x
  2. Step 2: Convert to fraction form
    219,547.24/302,976.44 = 118,945.24/x
  3. Step 3: Cross multiply
    219,547.24x = 302,976.44 × 118,945.24
  4. Step 4: Simplify right side
    219,547.24x = 36,037,605,370.15
  5. Step 5: Solve for x
    x = 36,037,605,370.15/219,547.24
  6. Step 6: Final answer
    x = 164,145.11

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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.