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Finding the Fourth Proportional to 114,711, 158,308.20 and 64,410

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Solution

The fourth proportional to 114,711, 158,308.20 and 64,410 is: 88,889.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,711 : 158,308.20 = 64,410 : x
  2. Step 2: Convert to fraction form
    114,711/158,308.20 = 64,410/x
  3. Step 3: Cross multiply
    114,711x = 158,308.20 × 64,410
  4. Step 4: Simplify right side
    114,711x = 10,196,631,162
  5. Step 5: Solve for x
    x = 10,196,631,162/114,711
  6. Step 6: Final answer
    x = 88,889.74

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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.