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Finding the Fourth Proportional to 211,358.16, 291,704.29 and 130,811.63

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Solution

The fourth proportional to 211,358.16, 291,704.29 and 130,811.63 is: 180,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,358.16 : 291,704.29 = 130,811.63 : x
  2. Step 2: Convert to fraction form
    211,358.16/291,704.29 = 130,811.63/x
  3. Step 3: Cross multiply
    211,358.16x = 291,704.29 × 130,811.63
  4. Step 4: Simplify right side
    211,358.16x = 38,158,311,867.34
  5. Step 5: Solve for x
    x = 38,158,311,867.34/211,358.16
  6. Step 6: Final answer
    x = 180,538.63

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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.