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Finding the Fourth Proportional to 180,542.61, 249,176.93 and 103,018.41

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Solution

The fourth proportional to 180,542.61, 249,176.93 and 103,018.41 is: 142,181.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,542.61 : 249,176.93 = 103,018.41 : x
  2. Step 2: Convert to fraction form
    180,542.61/249,176.93 = 103,018.41/x
  3. Step 3: Cross multiply
    180,542.61x = 249,176.93 × 103,018.41
  4. Step 4: Simplify right side
    180,542.61x = 25,669,810,622.19
  5. Step 5: Solve for x
    x = 25,669,810,622.19/180,542.61
  6. Step 6: Final answer
    x = 142,181.45

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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.