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Finding the Fourth Proportional to 295,116, 442,675.62 and 73,500

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Solution

The fourth proportional to 295,116, 442,675.62 and 73,500 is: 110,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,116 : 442,675.62 = 73,500 : x
  2. Step 2: Convert to fraction form
    295,116/442,675.62 = 73,500/x
  3. Step 3: Cross multiply
    295,116x = 442,675.62 × 73,500
  4. Step 4: Simplify right side
    295,116x = 32,536,658,070
  5. Step 5: Solve for x
    x = 32,536,658,070/295,116
  6. Step 6: Final answer
    x = 110,250.40

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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.