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Finding the Fourth Proportional to 202,966.45, 304,443.40 and 96,427.10

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Solution

The fourth proportional to 202,966.45, 304,443.40 and 96,427.10 is: 144,637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,966.45 : 304,443.40 = 96,427.10 : x
  2. Step 2: Convert to fraction form
    202,966.45/304,443.40 = 96,427.10/x
  3. Step 3: Cross multiply
    202,966.45x = 304,443.40 × 96,427.10
  4. Step 4: Simplify right side
    202,966.45x = 29,356,594,176.14
  5. Step 5: Solve for x
    x = 29,356,594,176.14/202,966.45
  6. Step 6: Final answer
    x = 144,637.67

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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.