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Finding the Fourth Proportional to 180,589.43, 249,210.36 and 100,020.35

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Solution

The fourth proportional to 180,589.43, 249,210.36 and 100,020.35 is: 138,026.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,589.43 : 249,210.36 = 100,020.35 : x
  2. Step 2: Convert to fraction form
    180,589.43/249,210.36 = 100,020.35/x
  3. Step 3: Cross multiply
    180,589.43x = 249,210.36 × 100,020.35
  4. Step 4: Simplify right side
    180,589.43x = 24,926,107,430.83
  5. Step 5: Solve for x
    x = 24,926,107,430.83/180,589.43
  6. Step 6: Final answer
    x = 138,026.39

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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.