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Finding the Fourth Proportional to 247,309.75, 370,715.37 and 97,492.06

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Solution

The fourth proportional to 247,309.75, 370,715.37 and 97,492.06 is: 146,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,309.75 : 370,715.37 = 97,492.06 : x
  2. Step 2: Convert to fraction form
    247,309.75/370,715.37 = 97,492.06/x
  3. Step 3: Cross multiply
    247,309.75x = 370,715.37 × 97,492.06
  4. Step 4: Simplify right side
    247,309.75x = 36,141,805,094.96
  5. Step 5: Solve for x
    x = 36,141,805,094.96/247,309.75
  6. Step 6: Final answer
    x = 146,139.83

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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.