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Finding the Fourth Proportional to 97,857.20, 146,567.10 and 97,857.20

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Solution

The fourth proportional to 97,857.20, 146,567.10 and 97,857.20 is: 146,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,857.20 : 146,567.10 = 97,857.20 : x
  2. Step 2: Convert to fraction form
    97,857.20/146,567.10 = 97,857.20/x
  3. Step 3: Cross multiply
    97,857.20x = 146,567.10 × 97,857.20
  4. Step 4: Simplify right side
    97,857.20x = 14,342,646,018.12
  5. Step 5: Solve for x
    x = 14,342,646,018.12/97,857.20
  6. Step 6: Final answer
    x = 146,567.10

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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.