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Finding the Fourth Proportional to 186,724, 257,894.08 and 135,963.68

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Solution

The fourth proportional to 186,724, 257,894.08 and 135,963.68 is: 187,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,724 : 257,894.08 = 135,963.68 : x
  2. Step 2: Convert to fraction form
    186,724/257,894.08 = 135,963.68/x
  3. Step 3: Cross multiply
    186,724x = 257,894.08 × 135,963.68
  4. Step 4: Simplify right side
    186,724x = 35,064,228,167.01
  5. Step 5: Solve for x
    x = 35,064,228,167.01/186,724
  6. Step 6: Final answer
    x = 187,786.40

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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.