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Finding the Fourth Proportional to 210,562, 315,808.40 and 75,598.14

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Solution

The fourth proportional to 210,562, 315,808.40 and 75,598.14 is: 113,384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,562 : 315,808.40 = 75,598.14 : x
  2. Step 2: Convert to fraction form
    210,562/315,808.40 = 75,598.14/x
  3. Step 3: Cross multiply
    210,562x = 315,808.40 × 75,598.14
  4. Step 4: Simplify right side
    210,562x = 23,874,527,636.38
  5. Step 5: Solve for x
    x = 23,874,527,636.38/210,562
  6. Step 6: Final answer
    x = 113,384.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.