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Finding the Fourth Proportional to 180,713.01, 249,385.43 and 100,141.89

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Solution

The fourth proportional to 180,713.01, 249,385.43 and 100,141.89 is: 138,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,713.01 : 249,385.43 = 100,141.89 : x
  2. Step 2: Convert to fraction form
    180,713.01/249,385.43 = 100,141.89/x
  3. Step 3: Cross multiply
    180,713.01x = 249,385.43 × 100,141.89
  4. Step 4: Simplify right side
    180,713.01x = 24,973,927,797.95
  5. Step 5: Solve for x
    x = 24,973,927,797.95/180,713.01
  6. Step 6: Final answer
    x = 138,196.62

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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.