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Finding the Fourth Proportional to 180,647.54, 249,273.47 and 100,054.88

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Solution

The fourth proportional to 180,647.54, 249,273.47 and 100,054.88 is: 138,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,647.54 : 249,273.47 = 100,054.88 : x
  2. Step 2: Convert to fraction form
    180,647.54/249,273.47 = 100,054.88/x
  3. Step 3: Cross multiply
    180,647.54x = 249,273.47 × 100,054.88
  4. Step 4: Simplify right side
    180,647.54x = 24,941,026,131.80
  5. Step 5: Solve for x
    x = 24,941,026,131.80/180,647.54
  6. Step 6: Final answer
    x = 138,064.58

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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.