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Finding the Fourth Proportional to 186,909.96, 280,363.50 and 46,667.64

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Solution

The fourth proportional to 186,909.96, 280,363.50 and 46,667.64 is: 70,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,909.96 : 280,363.50 = 46,667.64 : x
  2. Step 2: Convert to fraction form
    186,909.96/280,363.50 = 46,667.64/x
  3. Step 3: Cross multiply
    186,909.96x = 280,363.50 × 46,667.64
  4. Step 4: Simplify right side
    186,909.96x = 13,083,902,887.14
  5. Step 5: Solve for x
    x = 13,083,902,887.14/186,909.96
  6. Step 6: Final answer
    x = 70,001.10

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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.