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Finding the Fourth Proportional to 180,452.66, 249,050.13 and 105,025.46

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Solution

The fourth proportional to 180,452.66, 249,050.13 and 105,025.46 is: 144,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,452.66 : 249,050.13 = 105,025.46 : x
  2. Step 2: Convert to fraction form
    180,452.66/249,050.13 = 105,025.46/x
  3. Step 3: Cross multiply
    180,452.66x = 249,050.13 × 105,025.46
  4. Step 4: Simplify right side
    180,452.66x = 26,156,604,466.31
  5. Step 5: Solve for x
    x = 26,156,604,466.31/180,452.66
  6. Step 6: Final answer
    x = 144,949.95

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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.