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Finding the Fourth Proportional to 151,348.60, 208,862.49 and 83,365.84

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Solution

The fourth proportional to 151,348.60, 208,862.49 and 83,365.84 is: 115,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,348.60 : 208,862.49 = 83,365.84 : x
  2. Step 2: Convert to fraction form
    151,348.60/208,862.49 = 83,365.84/x
  3. Step 3: Cross multiply
    151,348.60x = 208,862.49 × 83,365.84
  4. Step 4: Simplify right side
    151,348.60x = 17,411,996,923.34
  5. Step 5: Solve for x
    x = 17,411,996,923.34/151,348.60
  6. Step 6: Final answer
    x = 115,045.64

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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.