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Finding the Fourth Proportional to 161,152.10, 241,833.10 and 61,313.16

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Solution

The fourth proportional to 161,152.10, 241,833.10 and 61,313.16 is: 92,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,152.10 : 241,833.10 = 61,313.16 : x
  2. Step 2: Convert to fraction form
    161,152.10/241,833.10 = 61,313.16/x
  3. Step 3: Cross multiply
    161,152.10x = 241,833.10 × 61,313.16
  4. Step 4: Simplify right side
    161,152.10x = 14,827,551,553.60
  5. Step 5: Solve for x
    x = 14,827,551,553.60/161,152.10
  6. Step 6: Final answer
    x = 92,009.67

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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.