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Finding the Fourth Proportional to 152,027.84, 209,780.25 and 84,035.63

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Solution

The fourth proportional to 152,027.84, 209,780.25 and 84,035.63 is: 115,959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,027.84 : 209,780.25 = 84,035.63 : x
  2. Step 2: Convert to fraction form
    152,027.84/209,780.25 = 84,035.63/x
  3. Step 3: Cross multiply
    152,027.84x = 209,780.25 × 84,035.63
  4. Step 4: Simplify right side
    152,027.84x = 17,629,015,470.31
  5. Step 5: Solve for x
    x = 17,629,015,470.31/152,027.84
  6. Step 6: Final answer
    x = 115,959.13

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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.