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Finding the Fourth Proportional to 151,293.59, 208,776.87 and 83,297.65

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Solution

The fourth proportional to 151,293.59, 208,776.87 and 83,297.65 is: 114,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,293.59 : 208,776.87 = 83,297.65 : x
  2. Step 2: Convert to fraction form
    151,293.59/208,776.87 = 83,297.65/x
  3. Step 3: Cross multiply
    151,293.59x = 208,776.87 × 83,297.65
  4. Step 4: Simplify right side
    151,293.59x = 17,390,622,645.36
  5. Step 5: Solve for x
    x = 17,390,622,645.36/151,293.59
  6. Step 6: Final answer
    x = 114,946.20

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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.