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Finding the Fourth Proportional to 144,025.90, 216,038.85 and 137,464.90

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Solution

The fourth proportional to 144,025.90, 216,038.85 and 137,464.90 is: 206,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,025.90 : 216,038.85 = 137,464.90 : x
  2. Step 2: Convert to fraction form
    144,025.90/216,038.85 = 137,464.90/x
  3. Step 3: Cross multiply
    144,025.90x = 216,038.85 × 137,464.90
  4. Step 4: Simplify right side
    144,025.90x = 29,697,758,911.37
  5. Step 5: Solve for x
    x = 29,697,758,911.37/144,025.90
  6. Step 6: Final answer
    x = 206,197.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.