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Finding the Fourth Proportional to 186,412.20, 257,266.72 and 114,834.12

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Solution

The fourth proportional to 186,412.20, 257,266.72 and 114,834.12 is: 158,482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,412.20 : 257,266.72 = 114,834.12 : x
  2. Step 2: Convert to fraction form
    186,412.20/257,266.72 = 114,834.12/x
  3. Step 3: Cross multiply
    186,412.20x = 257,266.72 × 114,834.12
  4. Step 4: Simplify right side
    186,412.20x = 29,542,996,575.28
  5. Step 5: Solve for x
    x = 29,542,996,575.28/186,412.20
  6. Step 6: Final answer
    x = 158,482.10

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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.