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Finding the Fourth Proportional to 216,124.52, 297,894.82 and 144,478.40

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Solution

The fourth proportional to 216,124.52, 297,894.82 and 144,478.40 is: 199,141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,124.52 : 297,894.82 = 144,478.40 : x
  2. Step 2: Convert to fraction form
    216,124.52/297,894.82 = 144,478.40/x
  3. Step 3: Cross multiply
    216,124.52x = 297,894.82 × 144,478.40
  4. Step 4: Simplify right side
    216,124.52x = 43,039,366,961.89
  5. Step 5: Solve for x
    x = 43,039,366,961.89/216,124.52
  6. Step 6: Final answer
    x = 199,141.53

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1.5x scale

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.