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Finding the Fourth Proportional to 152,633, 210,633.54 and 85,565

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Solution

The fourth proportional to 152,633, 210,633.54 and 85,565 is: 118,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,633 : 210,633.54 = 85,565 : x
  2. Step 2: Convert to fraction form
    152,633/210,633.54 = 85,565/x
  3. Step 3: Cross multiply
    152,633x = 210,633.54 × 85,565
  4. Step 4: Simplify right side
    152,633x = 18,022,858,850.10
  5. Step 5: Solve for x
    x = 18,022,858,850.10/152,633
  6. Step 6: Final answer
    x = 118,079.70

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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.