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Finding the Fourth Proportional to 159,210.40, 238,623.34 and 70,363.12

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Solution

The fourth proportional to 159,210.40, 238,623.34 and 70,363.12 is: 105,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,210.40 : 238,623.34 = 70,363.12 : x
  2. Step 2: Convert to fraction form
    159,210.40/238,623.34 = 70,363.12/x
  3. Step 3: Cross multiply
    159,210.40x = 238,623.34 × 70,363.12
  4. Step 4: Simplify right side
    159,210.40x = 16,790,282,707.22
  5. Step 5: Solve for x
    x = 16,790,282,707.22/159,210.40
  6. Step 6: Final answer
    x = 105,459.71

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Why These Related Problems?

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