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Finding the Fourth Proportional to 118,220.40, 177,071.40 and 102,668.40

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Solution

The fourth proportional to 118,220.40, 177,071.40 and 102,668.40 is: 153,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,220.40 : 177,071.40 = 102,668.40 : x
  2. Step 2: Convert to fraction form
    118,220.40/177,071.40 = 102,668.40/x
  3. Step 3: Cross multiply
    118,220.40x = 177,071.40 × 102,668.40
  4. Step 4: Simplify right side
    118,220.40x = 18,179,637,323.76
  5. Step 5: Solve for x
    x = 18,179,637,323.76/118,220.40
  6. Step 6: Final answer
    x = 153,777.50

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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.