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Finding the Fourth Proportional to 181,064, 249,868.32 and 101,576

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Solution

The fourth proportional to 181,064, 249,868.32 and 101,576 is: 140,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,064 : 249,868.32 = 101,576 : x
  2. Step 2: Convert to fraction form
    181,064/249,868.32 = 101,576/x
  3. Step 3: Cross multiply
    181,064x = 249,868.32 × 101,576
  4. Step 4: Simplify right side
    181,064x = 25,380,624,472.32
  5. Step 5: Solve for x
    x = 25,380,624,472.32/181,064
  6. Step 6: Final answer
    x = 140,174.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.