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Finding the Fourth Proportional to 186,712.96, 280,068 and 46,470.64

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Solution

The fourth proportional to 186,712.96, 280,068 and 46,470.64 is: 69,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,712.96 : 280,068 = 46,470.64 : x
  2. Step 2: Convert to fraction form
    186,712.96/280,068 = 46,470.64/x
  3. Step 3: Cross multiply
    186,712.96x = 280,068 × 46,470.64
  4. Step 4: Simplify right side
    186,712.96x = 13,014,939,203.52
  5. Step 5: Solve for x
    x = 13,014,939,203.52/186,712.96
  6. Step 6: Final answer
    x = 69,705.60

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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.