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Finding the Fourth Proportional to 282,336.25, 423,492.23 and 71,967.91

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Solution

The fourth proportional to 282,336.25, 423,492.23 and 71,967.91 is: 107,948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,336.25 : 423,492.23 = 71,967.91 : x
  2. Step 2: Convert to fraction form
    282,336.25/423,492.23 = 71,967.91/x
  3. Step 3: Cross multiply
    282,336.25x = 423,492.23 × 71,967.91
  4. Step 4: Simplify right side
    282,336.25x = 30,477,850,334.50
  5. Step 5: Solve for x
    x = 30,477,850,334.50/282,336.25
  6. Step 6: Final answer
    x = 107,948.77

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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.