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Finding the Fourth Proportional to 153,767.20, 230,715.60 and 83,696.80

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Solution

The fourth proportional to 153,767.20, 230,715.60 and 83,696.80 is: 125,580.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,767.20 : 230,715.60 = 83,696.80 : x
  2. Step 2: Convert to fraction form
    153,767.20/230,715.60 = 83,696.80/x
  3. Step 3: Cross multiply
    153,767.20x = 230,715.60 × 83,696.80
  4. Step 4: Simplify right side
    153,767.20x = 19,310,157,430.08
  5. Step 5: Solve for x
    x = 19,310,157,430.08/153,767.20
  6. Step 6: Final answer
    x = 125,580.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.