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Finding the Fourth Proportional to 97,384.40, 145,846.20 and 97,384.40

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Solution

The fourth proportional to 97,384.40, 145,846.20 and 97,384.40 is: 145,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,384.40 : 145,846.20 = 97,384.40 : x
  2. Step 2: Convert to fraction form
    97,384.40/145,846.20 = 97,384.40/x
  3. Step 3: Cross multiply
    97,384.40x = 145,846.20 × 97,384.40
  4. Step 4: Simplify right side
    97,384.40x = 14,203,144,679.28
  5. Step 5: Solve for x
    x = 14,203,144,679.28/97,384.40
  6. Step 6: Final answer
    x = 145,846.20

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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.