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Finding the Fourth Proportional to 188,580.79, 282,871.16 and 55,461.04

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Solution

The fourth proportional to 188,580.79, 282,871.16 and 55,461.04 is: 83,191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,580.79 : 282,871.16 = 55,461.04 : x
  2. Step 2: Convert to fraction form
    188,580.79/282,871.16 = 55,461.04/x
  3. Step 3: Cross multiply
    188,580.79x = 282,871.16 × 55,461.04
  4. Step 4: Simplify right side
    188,580.79x = 15,688,328,894.66
  5. Step 5: Solve for x
    x = 15,688,328,894.66/188,580.79
  6. Step 6: Final answer
    x = 83,191.56

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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.