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Finding the Fourth Proportional to 152,465, 210,401.70 and 92,849

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Solution

The fourth proportional to 152,465, 210,401.70 and 92,849 is: 128,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,465 : 210,401.70 = 92,849 : x
  2. Step 2: Convert to fraction form
    152,465/210,401.70 = 92,849/x
  3. Step 3: Cross multiply
    152,465x = 210,401.70 × 92,849
  4. Step 4: Simplify right side
    152,465x = 19,535,587,443.30
  5. Step 5: Solve for x
    x = 19,535,587,443.30/152,465
  6. Step 6: Final answer
    x = 128,131.62

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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.