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Finding the Fourth Proportional to 151,099.65, 208,513.14 and 83,116.65

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Solution

The fourth proportional to 151,099.65, 208,513.14 and 83,116.65 is: 114,698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,099.65 : 208,513.14 = 83,116.65 : x
  2. Step 2: Convert to fraction form
    151,099.65/208,513.14 = 83,116.65/x
  3. Step 3: Cross multiply
    151,099.65x = 208,513.14 × 83,116.65
  4. Step 4: Simplify right side
    151,099.65x = 17,330,913,677.78
  5. Step 5: Solve for x
    x = 17,330,913,677.78/151,099.65
  6. Step 6: Final answer
    x = 114,698.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.