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Finding the Fourth Proportional to 211,645.74, 292,078.17 and 116,157.63

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Solution

The fourth proportional to 211,645.74, 292,078.17 and 116,157.63 is: 160,301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,645.74 : 292,078.17 = 116,157.63 : x
  2. Step 2: Convert to fraction form
    211,645.74/292,078.17 = 116,157.63/x
  3. Step 3: Cross multiply
    211,645.74x = 292,078.17 × 116,157.63
  4. Step 4: Simplify right side
    211,645.74x = 33,927,108,001.94
  5. Step 5: Solve for x
    x = 33,927,108,001.94/211,645.74
  6. Step 6: Final answer
    x = 160,301.40

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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.