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Finding the Fourth Proportional to 211,870.56, 317,771.28 and 64,092

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Solution

The fourth proportional to 211,870.56, 317,771.28 and 64,092 is: 96,127.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,870.56 : 317,771.28 = 64,092 : x
  2. Step 2: Convert to fraction form
    211,870.56/317,771.28 = 64,092/x
  3. Step 3: Cross multiply
    211,870.56x = 317,771.28 × 64,092
  4. Step 4: Simplify right side
    211,870.56x = 20,366,596,877.76
  5. Step 5: Solve for x
    x = 20,366,596,877.76/211,870.56
  6. Step 6: Final answer
    x = 96,127.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.