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Finding the Fourth Proportional to 211,157.86, 291,397.92 and 115,666.12

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Solution

The fourth proportional to 211,157.86, 291,397.92 and 115,666.12 is: 159,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,157.86 : 291,397.92 = 115,666.12 : x
  2. Step 2: Convert to fraction form
    211,157.86/291,397.92 = 115,666.12/x
  3. Step 3: Cross multiply
    211,157.86x = 291,397.92 × 115,666.12
  4. Step 4: Simplify right side
    211,157.86x = 33,704,866,782.47
  5. Step 5: Solve for x
    x = 33,704,866,782.47/211,157.86
  6. Step 6: Final answer
    x = 159,619.29

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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.