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Finding the Fourth Proportional to 162,042.40, 243,063.60 and 106,055.20

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Solution

The fourth proportional to 162,042.40, 243,063.60 and 106,055.20 is: 159,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,042.40 : 243,063.60 = 106,055.20 : x
  2. Step 2: Convert to fraction form
    162,042.40/243,063.60 = 106,055.20/x
  3. Step 3: Cross multiply
    162,042.40x = 243,063.60 × 106,055.20
  4. Step 4: Simplify right side
    162,042.40x = 25,778,158,710.72
  5. Step 5: Solve for x
    x = 25,778,158,710.72/162,042.40
  6. Step 6: Final answer
    x = 159,082.80

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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.