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Finding the Fourth Proportional to 186,223.96, 256,994.90 and 105,654.88

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Solution

The fourth proportional to 186,223.96, 256,994.90 and 105,654.88 is: 145,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,223.96 : 256,994.90 = 105,654.88 : x
  2. Step 2: Convert to fraction form
    186,223.96/256,994.90 = 105,654.88/x
  3. Step 3: Cross multiply
    186,223.96x = 256,994.90 × 105,654.88
  4. Step 4: Simplify right side
    186,223.96x = 27,152,765,320.11
  5. Step 5: Solve for x
    x = 27,152,765,320.11/186,223.96
  6. Step 6: Final answer
    x = 145,807.05

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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.