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Finding the Fourth Proportional to 186,283.44, 257,077.44 and 105,714.72

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Solution

The fourth proportional to 186,283.44, 257,077.44 and 105,714.72 is: 145,889.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,283.44 : 257,077.44 = 105,714.72 : x
  2. Step 2: Convert to fraction form
    186,283.44/257,077.44 = 105,714.72/x
  3. Step 3: Cross multiply
    186,283.44x = 257,077.44 × 105,714.72
  4. Step 4: Simplify right side
    186,283.44x = 27,176,869,587.92
  5. Step 5: Solve for x
    x = 27,176,869,587.92/186,283.44
  6. Step 6: Final answer
    x = 145,889.88

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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.