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Finding the Fourth Proportional to 151,341.71, 208,852.97 and 83,358.92

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Solution

The fourth proportional to 151,341.71, 208,852.97 and 83,358.92 is: 115,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,341.71 : 208,852.97 = 83,358.92 : x
  2. Step 2: Convert to fraction form
    151,341.71/208,852.97 = 83,358.92/x
  3. Step 3: Cross multiply
    151,341.71x = 208,852.97 × 83,358.92
  4. Step 4: Simplify right side
    151,341.71x = 17,409,756,556.93
  5. Step 5: Solve for x
    x = 17,409,756,556.93/151,341.71
  6. Step 6: Final answer
    x = 115,036.08

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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.