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Finding the Fourth Proportional to 180,602.94, 249,221.10 and 100,025.64

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Solution

The fourth proportional to 180,602.94, 249,221.10 and 100,025.64 is: 138,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,602.94 : 249,221.10 = 100,025.64 : x
  2. Step 2: Convert to fraction form
    180,602.94/249,221.10 = 100,025.64/x
  3. Step 3: Cross multiply
    180,602.94x = 249,221.10 × 100,025.64
  4. Step 4: Simplify right side
    180,602.94x = 24,928,500,029.00
  5. Step 5: Solve for x
    x = 24,928,500,029.00/180,602.94
  6. Step 6: Final answer
    x = 138,029.31

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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.