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Finding the Fourth Proportional to 211,590.08, 291,994.32 and 120,948.01

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Solution

The fourth proportional to 211,590.08, 291,994.32 and 120,948.01 is: 166,908.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,590.08 : 291,994.32 = 120,948.01 : x
  2. Step 2: Convert to fraction form
    211,590.08/291,994.32 = 120,948.01/x
  3. Step 3: Cross multiply
    211,590.08x = 291,994.32 × 120,948.01
  4. Step 4: Simplify right side
    211,590.08x = 35,316,131,459.61
  5. Step 5: Solve for x
    x = 35,316,131,459.61/211,590.08
  6. Step 6: Final answer
    x = 166,908.26

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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.