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Finding the Fourth Proportional to 180,938.78, 249,706.84 and 104,471.88

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Solution

The fourth proportional to 180,938.78, 249,706.84 and 104,471.88 is: 144,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,938.78 : 249,706.84 = 104,471.88 : x
  2. Step 2: Convert to fraction form
    180,938.78/249,706.84 = 104,471.88/x
  3. Step 3: Cross multiply
    180,938.78x = 249,706.84 × 104,471.88
  4. Step 4: Simplify right side
    180,938.78x = 26,087,343,023.66
  5. Step 5: Solve for x
    x = 26,087,343,023.66/180,938.78
  6. Step 6: Final answer
    x = 144,177.73

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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.