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Finding the Fourth Proportional to 185,783.98, 256,384.84 and 105,209.32

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Solution

The fourth proportional to 185,783.98, 256,384.84 and 105,209.32 is: 145,190.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,783.98 : 256,384.84 = 105,209.32 : x
  2. Step 2: Convert to fraction form
    185,783.98/256,384.84 = 105,209.32/x
  3. Step 3: Cross multiply
    185,783.98x = 256,384.84 × 105,209.32
  4. Step 4: Simplify right side
    185,783.98x = 26,974,074,674.71
  5. Step 5: Solve for x
    x = 26,974,074,674.71/185,783.98
  6. Step 6: Final answer
    x = 145,190.53

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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.