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Finding the Fourth Proportional to 162,184.40, 242,693.40 and 109,696.40

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Solution

The fourth proportional to 162,184.40, 242,693.40 and 109,696.40 is: 164,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,184.40 : 242,693.40 = 109,696.40 : x
  2. Step 2: Convert to fraction form
    162,184.40/242,693.40 = 109,696.40/x
  3. Step 3: Cross multiply
    162,184.40x = 242,693.40 × 109,696.40
  4. Step 4: Simplify right side
    162,184.40x = 26,622,592,283.76
  5. Step 5: Solve for x
    x = 26,622,592,283.76/162,184.40
  6. Step 6: Final answer
    x = 164,150.14

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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.