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Finding the Fourth Proportional to 211,980.96, 292,531.38 and 116,486.52

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Solution

The fourth proportional to 211,980.96, 292,531.38 and 116,486.52 is: 160,750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,980.96 : 292,531.38 = 116,486.52 : x
  2. Step 2: Convert to fraction form
    211,980.96/292,531.38 = 116,486.52/x
  3. Step 3: Cross multiply
    211,980.96x = 292,531.38 × 116,486.52
  4. Step 4: Simplify right side
    211,980.96x = 34,075,962,447.00
  5. Step 5: Solve for x
    x = 34,075,962,447.00/211,980.96
  6. Step 6: Final answer
    x = 160,750.11

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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.