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Finding the Fourth Proportional to 181,040, 249,835.20 and 110,384

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Solution

The fourth proportional to 181,040, 249,835.20 and 110,384 is: 152,329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,040 : 249,835.20 = 110,384 : x
  2. Step 2: Convert to fraction form
    181,040/249,835.20 = 110,384/x
  3. Step 3: Cross multiply
    181,040x = 249,835.20 × 110,384
  4. Step 4: Simplify right side
    181,040x = 27,577,808,716.80
  5. Step 5: Solve for x
    x = 27,577,808,716.80/181,040
  6. Step 6: Final answer
    x = 152,329.92

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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.