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Finding the Fourth Proportional to 211,326.52, 291,660.50 and 130,780

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Solution

The fourth proportional to 211,326.52, 291,660.50 and 130,780 is: 180,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,326.52 : 291,660.50 = 130,780 : x
  2. Step 2: Convert to fraction form
    211,326.52/291,660.50 = 130,780/x
  3. Step 3: Cross multiply
    211,326.52x = 291,660.50 × 130,780
  4. Step 4: Simplify right side
    211,326.52x = 38,143,360,190
  5. Step 5: Solve for x
    x = 38,143,360,190/211,326.52
  6. Step 6: Final answer
    x = 180,494.91

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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.