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Finding the Fourth Proportional to 114,697, 158,281.86 and 64,396

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Solution

The fourth proportional to 114,697, 158,281.86 and 64,396 is: 88,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,697 : 158,281.86 = 64,396 : x
  2. Step 2: Convert to fraction form
    114,697/158,281.86 = 64,396/x
  3. Step 3: Cross multiply
    114,697x = 158,281.86 × 64,396
  4. Step 4: Simplify right side
    114,697x = 10,192,718,656.56
  5. Step 5: Solve for x
    x = 10,192,718,656.56/114,697
  6. Step 6: Final answer
    x = 88,866.48

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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.