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Finding the Fourth Proportional to 211,805.88, 292,292.11 and 116,314.17

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Solution

The fourth proportional to 211,805.88, 292,292.11 and 116,314.17 is: 160,513.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,805.88 : 292,292.11 = 116,314.17 : x
  2. Step 2: Convert to fraction form
    211,805.88/292,292.11 = 116,314.17/x
  3. Step 3: Cross multiply
    211,805.88x = 292,292.11 × 116,314.17
  4. Step 4: Simplify right side
    211,805.88x = 33,997,714,172.20
  5. Step 5: Solve for x
    x = 33,997,714,172.20/211,805.88
  6. Step 6: Final answer
    x = 160,513.55

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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.