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Finding the Fourth Proportional to 185,651, 256,199.70 and 100,768.06

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Solution

The fourth proportional to 185,651, 256,199.70 and 100,768.06 is: 139,060.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,651 : 256,199.70 = 100,768.06 : x
  2. Step 2: Convert to fraction form
    185,651/256,199.70 = 100,768.06/x
  3. Step 3: Cross multiply
    185,651x = 256,199.70 × 100,768.06
  4. Step 4: Simplify right side
    185,651x = 25,816,746,741.58
  5. Step 5: Solve for x
    x = 25,816,746,741.58/185,651
  6. Step 6: Final answer
    x = 139,060.64

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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.