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Finding the Fourth Proportional to 180,586.29, 249,201.75 and 100,009.02

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Solution

The fourth proportional to 180,586.29, 249,201.75 and 100,009.02 is: 138,008.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,586.29 : 249,201.75 = 100,009.02 : x
  2. Step 2: Convert to fraction form
    180,586.29/249,201.75 = 100,009.02/x
  3. Step 3: Cross multiply
    180,586.29x = 249,201.75 × 100,009.02
  4. Step 4: Simplify right side
    180,586.29x = 24,922,422,799.79
  5. Step 5: Solve for x
    x = 24,922,422,799.79/180,586.29
  6. Step 6: Final answer
    x = 138,008.39

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