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Finding the Fourth Proportional to 162,430.10, 243,608.70 and 106,661.60

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Solution

The fourth proportional to 162,430.10, 243,608.70 and 106,661.60 is: 159,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,430.10 : 243,608.70 = 106,661.60 : x
  2. Step 2: Convert to fraction form
    162,430.10/243,608.70 = 106,661.60/x
  3. Step 3: Cross multiply
    162,430.10x = 243,608.70 × 106,661.60
  4. Step 4: Simplify right side
    162,430.10x = 25,983,693,715.92
  5. Step 5: Solve for x
    x = 25,983,693,715.92/162,430.10
  6. Step 6: Final answer
    x = 159,968.46

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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.