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Finding the Fourth Proportional to 186,714.72, 257,668.29 and 101,833.20

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Solution

The fourth proportional to 186,714.72, 257,668.29 and 101,833.20 is: 140,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,714.72 : 257,668.29 = 101,833.20 : x
  2. Step 2: Convert to fraction form
    186,714.72/257,668.29 = 101,833.20/x
  3. Step 3: Cross multiply
    186,714.72x = 257,668.29 × 101,833.20
  4. Step 4: Simplify right side
    186,714.72x = 26,239,186,509.23
  5. Step 5: Solve for x
    x = 26,239,186,509.23/186,714.72
  6. Step 6: Final answer
    x = 140,530.89

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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.