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Finding the Fourth Proportional to 211,141.59, 291,303 and 120,432.27

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Solution

The fourth proportional to 211,141.59, 291,303 and 120,432.27 is: 166,155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,141.59 : 291,303 = 120,432.27 : x
  2. Step 2: Convert to fraction form
    211,141.59/291,303 = 120,432.27/x
  3. Step 3: Cross multiply
    211,141.59x = 291,303 × 120,432.27
  4. Step 4: Simplify right side
    211,141.59x = 35,082,281,547.81
  5. Step 5: Solve for x
    x = 35,082,281,547.81/211,141.59
  6. Step 6: Final answer
    x = 166,155.24

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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.