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Finding the Fourth Proportional to 212,725.92, 293,567.93 and 117,238.77

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Solution

The fourth proportional to 212,725.92, 293,567.93 and 117,238.77 is: 161,792.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,725.92 : 293,567.93 = 117,238.77 : x
  2. Step 2: Convert to fraction form
    212,725.92/293,567.93 = 117,238.77/x
  3. Step 3: Cross multiply
    212,725.92x = 293,567.93 × 117,238.77
  4. Step 4: Simplify right side
    212,725.92x = 34,417,543,024.65
  5. Step 5: Solve for x
    x = 34,417,543,024.65/212,725.92
  6. Step 6: Final answer
    x = 161,792.90

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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.