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Finding the Fourth Proportional to 166,320, 249,482.16 and 55,512

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Solution

The fourth proportional to 166,320, 249,482.16 and 55,512 is: 83,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,320 : 249,482.16 = 55,512 : x
  2. Step 2: Convert to fraction form
    166,320/249,482.16 = 55,512/x
  3. Step 3: Cross multiply
    166,320x = 249,482.16 × 55,512
  4. Step 4: Simplify right side
    166,320x = 13,849,253,665.92
  5. Step 5: Solve for x
    x = 13,849,253,665.92/166,320
  6. Step 6: Final answer
    x = 83,268.72

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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.