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Finding the Fourth Proportional to 152,595.41, 210,582.11 and 84,617.17

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Solution

The fourth proportional to 152,595.41, 210,582.11 and 84,617.17 is: 116,771.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,595.41 : 210,582.11 = 84,617.17 : x
  2. Step 2: Convert to fraction form
    152,595.41/210,582.11 = 84,617.17/x
  3. Step 3: Cross multiply
    152,595.41x = 210,582.11 × 84,617.17
  4. Step 4: Simplify right side
    152,595.41x = 17,818,861,885.92
  5. Step 5: Solve for x
    x = 17,818,861,885.92/152,595.41
  6. Step 6: Final answer
    x = 116,771.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.