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Finding the Fourth Proportional to 166,455, 249,715.44 and 54,127.98

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Solution

The fourth proportional to 166,455, 249,715.44 and 54,127.98 is: 81,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,455 : 249,715.44 = 54,127.98 : x
  2. Step 2: Convert to fraction form
    166,455/249,715.44 = 54,127.98/x
  3. Step 3: Cross multiply
    166,455x = 249,715.44 × 54,127.98
  4. Step 4: Simplify right side
    166,455x = 13,516,592,342.01
  5. Step 5: Solve for x
    x = 13,516,592,342.01/166,455
  6. Step 6: Final answer
    x = 81,202.68

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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.