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Finding the Fourth Proportional to 151,497.89, 209,069.73 and 83,514.45

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Solution

The fourth proportional to 151,497.89, 209,069.73 and 83,514.45 is: 115,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,497.89 : 209,069.73 = 83,514.45 : x
  2. Step 2: Convert to fraction form
    151,497.89/209,069.73 = 83,514.45/x
  3. Step 3: Cross multiply
    151,497.89x = 209,069.73 × 83,514.45
  4. Step 4: Simplify right side
    151,497.89x = 17,460,343,512.60
  5. Step 5: Solve for x
    x = 17,460,343,512.60/151,497.89
  6. Step 6: Final answer
    x = 115,251.40

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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.