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Finding the Fourth Proportional to 152,026, 209,795.83 and 84,958

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Solution

The fourth proportional to 152,026, 209,795.83 and 84,958 is: 117,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,026 : 209,795.83 = 84,958 : x
  2. Step 2: Convert to fraction form
    152,026/209,795.83 = 84,958/x
  3. Step 3: Cross multiply
    152,026x = 209,795.83 × 84,958
  4. Step 4: Simplify right side
    152,026x = 17,823,834,125.14
  5. Step 5: Solve for x
    x = 17,823,834,125.14/152,026
  6. Step 6: Final answer
    x = 117,242.01

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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.