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Finding the Fourth Proportional to 178,877.92, 268,308.88 and 52,513.12

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Solution

The fourth proportional to 178,877.92, 268,308.88 and 52,513.12 is: 78,767.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,877.92 : 268,308.88 = 52,513.12 : x
  2. Step 2: Convert to fraction form
    178,877.92/268,308.88 = 52,513.12/x
  3. Step 3: Cross multiply
    178,877.92x = 268,308.88 × 52,513.12
  4. Step 4: Simplify right side
    178,877.92x = 14,089,736,412.51
  5. Step 5: Solve for x
    x = 14,089,736,412.51/178,877.92
  6. Step 6: Final answer
    x = 78,767.33

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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.