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Finding the Fourth Proportional to 162,792.83, 243,894.00 and 120,203.74

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Solution

The fourth proportional to 162,792.83, 243,894.00 and 120,203.74 is: 180,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,792.83 : 243,894.00 = 120,203.74 : x
  2. Step 2: Convert to fraction form
    162,792.83/243,894.00 = 120,203.74/x
  3. Step 3: Cross multiply
    162,792.83x = 243,894.00 × 120,203.74
  4. Step 4: Simplify right side
    162,792.83x = 29,316,971,719.19
  5. Step 5: Solve for x
    x = 29,316,971,719.19/162,792.83
  6. Step 6: Final answer
    x = 180,087.61

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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.