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Finding the Fourth Proportional to 153,505.28, 211,840 and 86,438.40

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Solution

The fourth proportional to 153,505.28, 211,840 and 86,438.40 is: 119,286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,505.28 : 211,840 = 86,438.40 : x
  2. Step 2: Convert to fraction form
    153,505.28/211,840 = 86,438.40/x
  3. Step 3: Cross multiply
    153,505.28x = 211,840 × 86,438.40
  4. Step 4: Simplify right side
    153,505.28x = 18,311,110,656
  5. Step 5: Solve for x
    x = 18,311,110,656/153,505.28
  6. Step 6: Final answer
    x = 119,286.52

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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.