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Finding the Fourth Proportional to 186,215.72, 256,983.48 and 105,646.64

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Solution

The fourth proportional to 186,215.72, 256,983.48 and 105,646.64 is: 145,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,215.72 : 256,983.48 = 105,646.64 : x
  2. Step 2: Convert to fraction form
    186,215.72/256,983.48 = 105,646.64/x
  3. Step 3: Cross multiply
    186,215.72x = 256,983.48 × 105,646.64
  4. Step 4: Simplify right side
    186,215.72x = 27,149,441,197.51
  5. Step 5: Solve for x
    x = 27,149,441,197.51/186,215.72
  6. Step 6: Final answer
    x = 145,795.65

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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.