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Finding the Fourth Proportional to 211,305.84, 291,081.24 and 180,992.40

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Solution

The fourth proportional to 211,305.84, 291,081.24 and 180,992.40 is: 249,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,305.84 : 291,081.24 = 180,992.40 : x
  2. Step 2: Convert to fraction form
    211,305.84/291,081.24 = 180,992.40/x
  3. Step 3: Cross multiply
    211,305.84x = 291,081.24 × 180,992.40
  4. Step 4: Simplify right side
    211,305.84x = 52,683,492,222.58
  5. Step 5: Solve for x
    x = 52,683,492,222.58/211,305.84
  6. Step 6: Final answer
    x = 249,323.41

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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.