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Finding the Fourth Proportional to 166,284, 249,428.16 and 55,476

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Solution

The fourth proportional to 166,284, 249,428.16 and 55,476 is: 83,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,284 : 249,428.16 = 55,476 : x
  2. Step 2: Convert to fraction form
    166,284/249,428.16 = 55,476/x
  3. Step 3: Cross multiply
    166,284x = 249,428.16 × 55,476
  4. Step 4: Simplify right side
    166,284x = 13,837,276,604.16
  5. Step 5: Solve for x
    x = 13,837,276,604.16/166,284
  6. Step 6: Final answer
    x = 83,214.72

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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.