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Finding the Fourth Proportional to 162,005.70, 243,008.55 and 144,495.30

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Solution

The fourth proportional to 162,005.70, 243,008.55 and 144,495.30 is: 216,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,005.70 : 243,008.55 = 144,495.30 : x
  2. Step 2: Convert to fraction form
    162,005.70/243,008.55 = 144,495.30/x
  3. Step 3: Cross multiply
    162,005.70x = 243,008.55 × 144,495.30
  4. Step 4: Simplify right side
    162,005.70x = 35,113,593,334.82
  5. Step 5: Solve for x
    x = 35,113,593,334.82/162,005.70
  6. Step 6: Final answer
    x = 216,742.95

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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.