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Finding the Fourth Proportional to 177,085.76, 265,668.10 and 64,763.49

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Solution

The fourth proportional to 177,085.76, 265,668.10 and 64,763.49 is: 97,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,085.76 : 265,668.10 = 64,763.49 : x
  2. Step 2: Convert to fraction form
    177,085.76/265,668.10 = 64,763.49/x
  3. Step 3: Cross multiply
    177,085.76x = 265,668.10 × 64,763.49
  4. Step 4: Simplify right side
    177,085.76x = 17,205,592,668.33
  5. Step 5: Solve for x
    x = 17,205,592,668.33/177,085.76
  6. Step 6: Final answer
    x = 97,159.66

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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.