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Finding the Fourth Proportional to 211,570.68, 291,986.46 and 116,095.98

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Solution

The fourth proportional to 211,570.68, 291,986.46 and 116,095.98 is: 160,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,570.68 : 291,986.46 = 116,095.98 : x
  2. Step 2: Convert to fraction form
    211,570.68/291,986.46 = 116,095.98/x
  3. Step 3: Cross multiply
    211,570.68x = 291,986.46 × 116,095.98
  4. Step 4: Simplify right side
    211,570.68x = 33,898,454,220.43
  5. Step 5: Solve for x
    x = 33,898,454,220.43/211,570.68
  6. Step 6: Final answer
    x = 160,222.84

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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.