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Finding the Fourth Proportional to 234,088.76, 350,209.28 and 180,373.80

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Solution

The fourth proportional to 234,088.76, 350,209.28 and 180,373.80 is: 269,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,088.76 : 350,209.28 = 180,373.80 : x
  2. Step 2: Convert to fraction form
    234,088.76/350,209.28 = 180,373.80/x
  3. Step 3: Cross multiply
    234,088.76x = 350,209.28 × 180,373.80
  4. Step 4: Simplify right side
    234,088.76x = 63,168,578,628.86
  5. Step 5: Solve for x
    x = 63,168,578,628.86/234,088.76
  6. Step 6: Final answer
    x = 269,848.83

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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.