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Finding the Fourth Proportional to 364,041.34, 546,025.10 and 97,767.25

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Solution

The fourth proportional to 364,041.34, 546,025.10 and 97,767.25 is: 146,640.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,041.34 : 546,025.10 = 97,767.25 : x
  2. Step 2: Convert to fraction form
    364,041.34/546,025.10 = 97,767.25/x
  3. Step 3: Cross multiply
    364,041.34x = 546,025.10 × 97,767.25
  4. Step 4: Simplify right side
    364,041.34x = 53,383,372,457.98
  5. Step 5: Solve for x
    x = 53,383,372,457.98/364,041.34
  6. Step 6: Final answer
    x = 146,640.96

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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.