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Finding the Fourth Proportional to 182,657.84, 252,050.94 and 102,074.18

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Solution

The fourth proportional to 182,657.84, 252,050.94 and 102,074.18 is: 140,852.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,657.84 : 252,050.94 = 102,074.18 : x
  2. Step 2: Convert to fraction form
    182,657.84/252,050.94 = 102,074.18/x
  3. Step 3: Cross multiply
    182,657.84x = 252,050.94 × 102,074.18
  4. Step 4: Simplify right side
    182,657.84x = 25,727,891,758.47
  5. Step 5: Solve for x
    x = 25,727,891,758.47/182,657.84
  6. Step 6: Final answer
    x = 140,852.93

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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.