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Finding the Fourth Proportional to 295,281.92, 442,894.80 and 117,741.44

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Solution

The fourth proportional to 295,281.92, 442,894.80 and 117,741.44 is: 176,600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,281.92 : 442,894.80 = 117,741.44 : x
  2. Step 2: Convert to fraction form
    295,281.92/442,894.80 = 117,741.44/x
  3. Step 3: Cross multiply
    295,281.92x = 442,894.80 × 117,741.44
  4. Step 4: Simplify right side
    295,281.92x = 52,147,071,520.51
  5. Step 5: Solve for x
    x = 52,147,071,520.51/295,281.92
  6. Step 6: Final answer
    x = 176,600.96

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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.