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Finding the Fourth Proportional to 191,814, 287,762.54 and 73,485.35

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Solution

The fourth proportional to 191,814, 287,762.54 and 73,485.35 is: 110,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,814 : 287,762.54 = 73,485.35 : x
  2. Step 2: Convert to fraction form
    191,814/287,762.54 = 73,485.35/x
  3. Step 3: Cross multiply
    191,814x = 287,762.54 × 73,485.35
  4. Step 4: Simplify right side
    191,814x = 21,146,329,162.55
  5. Step 5: Solve for x
    x = 21,146,329,162.55/191,814
  6. Step 6: Final answer
    x = 110,243.93

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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.