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Finding the Fourth Proportional to 219,547.32, 302,975.62 and 118,945.32

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Solution

The fourth proportional to 219,547.32, 302,975.62 and 118,945.32 is: 164,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,547.32 : 302,975.62 = 118,945.32 : x
  2. Step 2: Convert to fraction form
    219,547.32/302,975.62 = 118,945.32/x
  3. Step 3: Cross multiply
    219,547.32x = 302,975.62 × 118,945.32
  4. Step 4: Simplify right side
    219,547.32x = 36,037,532,073.10
  5. Step 5: Solve for x
    x = 36,037,532,073.10/219,547.32
  6. Step 6: Final answer
    x = 164,144.71

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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.