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Finding the Fourth Proportional to 211,468.42, 291,825.06 and 120,852.10

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Solution

The fourth proportional to 211,468.42, 291,825.06 and 120,852.10 is: 166,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,468.42 : 291,825.06 = 120,852.10 : x
  2. Step 2: Convert to fraction form
    211,468.42/291,825.06 = 120,852.10/x
  3. Step 3: Cross multiply
    211,468.42x = 291,825.06 × 120,852.10
  4. Step 4: Simplify right side
    211,468.42x = 35,267,671,333.63
  5. Step 5: Solve for x
    x = 35,267,671,333.63/211,468.42
  6. Step 6: Final answer
    x = 166,775.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.