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Finding the Fourth Proportional to 257,783.40, 386,816.04 and 100,018.08

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Solution

The fourth proportional to 257,783.40, 386,816.04 and 100,018.08 is: 150,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,783.40 : 386,816.04 = 100,018.08 : x
  2. Step 2: Convert to fraction form
    257,783.40/386,816.04 = 100,018.08/x
  3. Step 3: Cross multiply
    257,783.40x = 386,816.04 × 100,018.08
  4. Step 4: Simplify right side
    257,783.40x = 38,688,597,634.00
  5. Step 5: Solve for x
    x = 38,688,597,634.00/257,783.40
  6. Step 6: Final answer
    x = 150,081.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.