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Finding the Fourth Proportional to 191,762.40, 287,989.20 and 185,541.60

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Solution

The fourth proportional to 191,762.40, 287,989.20 and 185,541.60 is: 278,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,762.40 : 287,989.20 = 185,541.60 : x
  2. Step 2: Convert to fraction form
    191,762.40/287,989.20 = 185,541.60/x
  3. Step 3: Cross multiply
    191,762.40x = 287,989.20 × 185,541.60
  4. Step 4: Simplify right side
    191,762.40x = 53,433,976,950.72
  5. Step 5: Solve for x
    x = 53,433,976,950.72/191,762.40
  6. Step 6: Final answer
    x = 278,646.79

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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.