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Finding the Fourth Proportional to 152,145, 209,956.32 and 84,164.67

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Solution

The fourth proportional to 152,145, 209,956.32 and 84,164.67 is: 116,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,145 : 209,956.32 = 84,164.67 : x
  2. Step 2: Convert to fraction form
    152,145/209,956.32 = 84,164.67/x
  3. Step 3: Cross multiply
    152,145x = 209,956.32 × 84,164.67
  4. Step 4: Simplify right side
    152,145x = 17,670,904,387.21
  5. Step 5: Solve for x
    x = 17,670,904,387.21/152,145
  6. Step 6: Final answer
    x = 116,145.15

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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.