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Finding the Fourth Proportional to 180,698.92, 270,823.47 and 116,487.74

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Solution

The fourth proportional to 180,698.92, 270,823.47 and 116,487.74 is: 174,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,698.92 : 270,823.47 = 116,487.74 : x
  2. Step 2: Convert to fraction form
    180,698.92/270,823.47 = 116,487.74/x
  3. Step 3: Cross multiply
    180,698.92x = 270,823.47 × 116,487.74
  4. Step 4: Simplify right side
    180,698.92x = 31,547,613,959.26
  5. Step 5: Solve for x
    x = 31,547,613,959.26/180,698.92
  6. Step 6: Final answer
    x = 174,586.62

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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.