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Finding the Fourth Proportional to 185,814.54, 256,282.79 and 128,549.16

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Solution

The fourth proportional to 185,814.54, 256,282.79 and 128,549.16 is: 177,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,814.54 : 256,282.79 = 128,549.16 : x
  2. Step 2: Convert to fraction form
    185,814.54/256,282.79 = 128,549.16/x
  3. Step 3: Cross multiply
    185,814.54x = 256,282.79 × 128,549.16
  4. Step 4: Simplify right side
    185,814.54x = 32,944,936,734.21
  5. Step 5: Solve for x
    x = 32,944,936,734.21/185,814.54
  6. Step 6: Final answer
    x = 177,300.10

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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.