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Finding the Fourth Proportional to 151,026.45, 208,417.26 and 83,047.80

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Solution

The fourth proportional to 151,026.45, 208,417.26 and 83,047.80 is: 114,606.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,026.45 : 208,417.26 = 83,047.80 : x
  2. Step 2: Convert to fraction form
    151,026.45/208,417.26 = 83,047.80/x
  3. Step 3: Cross multiply
    151,026.45x = 208,417.26 × 83,047.80
  4. Step 4: Simplify right side
    151,026.45x = 17,308,594,925.03
  5. Step 5: Solve for x
    x = 17,308,594,925.03/151,026.45
  6. Step 6: Final answer
    x = 114,606.38

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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.