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Finding the Fourth Proportional to 162,041.40, 243,062.10 and 106,054.20

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Solution

The fourth proportional to 162,041.40, 243,062.10 and 106,054.20 is: 159,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,041.40 : 243,062.10 = 106,054.20 : x
  2. Step 2: Convert to fraction form
    162,041.40/243,062.10 = 106,054.20/x
  3. Step 3: Cross multiply
    162,041.40x = 243,062.10 × 106,054.20
  4. Step 4: Simplify right side
    162,041.40x = 25,777,756,565.82
  5. Step 5: Solve for x
    x = 25,777,756,565.82/162,041.40
  6. Step 6: Final answer
    x = 159,081.30

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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.