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Finding the Fourth Proportional to 282,486.53, 423,733.35 and 82,810.92

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Solution

The fourth proportional to 282,486.53, 423,733.35 and 82,810.92 is: 124,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,486.53 : 423,733.35 = 82,810.92 : x
  2. Step 2: Convert to fraction form
    282,486.53/423,733.35 = 82,810.92/x
  3. Step 3: Cross multiply
    282,486.53x = 423,733.35 × 82,810.92
  4. Step 4: Simplify right side
    282,486.53x = 35,089,748,548.18
  5. Step 5: Solve for x
    x = 35,089,748,548.18/282,486.53
  6. Step 6: Final answer
    x = 124,217.42

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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.