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Finding the Fourth Proportional to 162,110.40, 242,582.40 and 109,622.40

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Solution

The fourth proportional to 162,110.40, 242,582.40 and 109,622.40 is: 164,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,110.40 : 242,582.40 = 109,622.40 : x
  2. Step 2: Convert to fraction form
    162,110.40/242,582.40 = 109,622.40/x
  3. Step 3: Cross multiply
    162,110.40x = 242,582.40 × 109,622.40
  4. Step 4: Simplify right side
    162,110.40x = 26,592,464,885.76
  5. Step 5: Solve for x
    x = 26,592,464,885.76/162,110.40
  6. Step 6: Final answer
    x = 164,039.23

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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.