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Finding the Fourth Proportional to 181,120, 249,968.64 and 101,632

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Solution

The fourth proportional to 181,120, 249,968.64 and 101,632 is: 140,265.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,120 : 249,968.64 = 101,632 : x
  2. Step 2: Convert to fraction form
    181,120/249,968.64 = 101,632/x
  3. Step 3: Cross multiply
    181,120x = 249,968.64 × 101,632
  4. Step 4: Simplify right side
    181,120x = 25,404,812,820.48
  5. Step 5: Solve for x
    x = 25,404,812,820.48/181,120
  6. Step 6: Final answer
    x = 140,265.09

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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.